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Finding the Third Proportional to 242,742 and 516,102

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Solution

The third proportional to 242,742 and 516,102 is: 1,097,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,742 : 516,102 = 516,102 : x
  2. Step 2: Convert to fraction form
    242,742/516,102 = 516,102/x
  3. Step 3: Cross multiply
    242,742x = 516,102 × 516,102
  4. Step 4: Simplify right side
    242,742x = 266,361,274,404
  5. Step 5: Solve for x
    x = 266,361,274,404/242,742
  6. Step 6: Final answer
    x = 1,097,301.97

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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.