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Finding the Third Proportional to 242,727.75 and 516,073.50

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Solution

The third proportional to 242,727.75 and 516,073.50 is: 1,097,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,727.75 : 516,073.50 = 516,073.50 : x
  2. Step 2: Convert to fraction form
    242,727.75/516,073.50 = 516,073.50/x
  3. Step 3: Cross multiply
    242,727.75x = 516,073.50 × 516,073.50
  4. Step 4: Simplify right side
    242,727.75x = 266,331,857,402.25
  5. Step 5: Solve for x
    x = 266,331,857,402.25/242,727.75
  6. Step 6: Final answer
    x = 1,097,245.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.