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Finding the Third Proportional to 253,808,428.25 and 342,447,162

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Solution

The third proportional to 253,808,428.25 and 342,447,162 is: 462,041,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,428.25 : 342,447,162 = 342,447,162 : x
  2. Step 2: Convert to fraction form
    253,808,428.25/342,447,162 = 342,447,162/x
  3. Step 3: Cross multiply
    253,808,428.25x = 342,447,162 × 342,447,162
  4. Step 4: Simplify right side
    253,808,428.25x = 117,270,058,761,854,240
  5. Step 5: Solve for x
    x = 117,270,058,761,854,240/253,808,428.25
  6. Step 6: Final answer
    x = 462,041,625.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.