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Finding the Third Proportional to 225,137.25 and 342,347.25

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Solution

The third proportional to 225,137.25 and 342,347.25 is: 520,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,137.25 : 342,347.25 = 342,347.25 : x
  2. Step 2: Convert to fraction form
    225,137.25/342,347.25 = 342,347.25/x
  3. Step 3: Cross multiply
    225,137.25x = 342,347.25 × 342,347.25
  4. Step 4: Simplify right side
    225,137.25x = 117,201,639,582.56
  5. Step 5: Solve for x
    x = 117,201,639,582.56/225,137.25
  6. Step 6: Final answer
    x = 520,578.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.