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Finding the Third Proportional to 240,176.25 and 517,465.13

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Solution

The third proportional to 240,176.25 and 517,465.13 is: 1,114,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,176.25 : 517,465.13 = 517,465.13 : x
  2. Step 2: Convert to fraction form
    240,176.25/517,465.13 = 517,465.13/x
  3. Step 3: Cross multiply
    240,176.25x = 517,465.13 × 517,465.13
  4. Step 4: Simplify right side
    240,176.25x = 267,770,155,591.27
  5. Step 5: Solve for x
    x = 267,770,155,591.27/240,176.25
  6. Step 6: Final answer
    x = 1,114,890.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.