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Finding the Third Proportional to 242,346.38 and 517,681.13

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Solution

The third proportional to 242,346.38 and 517,681.13 is: 1,105,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,346.38 : 517,681.13 = 517,681.13 : x
  2. Step 2: Convert to fraction form
    242,346.38/517,681.13 = 517,681.13/x
  3. Step 3: Cross multiply
    242,346.38x = 517,681.13 × 517,681.13
  4. Step 4: Simplify right side
    242,346.38x = 267,993,747,181.27
  5. Step 5: Solve for x
    x = 267,993,747,181.27/242,346.38
  6. Step 6: Final answer
    x = 1,105,829.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.