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Finding the Third Proportional to 158,770.13 and 342,468

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Solution

The third proportional to 158,770.13 and 342,468 is: 738,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,770.13 : 342,468 = 342,468 : x
  2. Step 2: Convert to fraction form
    158,770.13/342,468 = 342,468/x
  3. Step 3: Cross multiply
    158,770.13x = 342,468 × 342,468
  4. Step 4: Simplify right side
    158,770.13x = 117,284,331,024
  5. Step 5: Solve for x
    x = 117,284,331,024/158,770.13
  6. Step 6: Final answer
    x = 738,705.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.