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Finding the Third Proportional to 129,902 and 278,494

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Solution

The third proportional to 129,902 and 278,494 is: 597,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902 : 278,494 = 278,494 : x
  2. Step 2: Convert to fraction form
    129,902/278,494 = 278,494/x
  3. Step 3: Cross multiply
    129,902x = 278,494 × 278,494
  4. Step 4: Simplify right side
    129,902x = 77,558,908,036
  5. Step 5: Solve for x
    x = 77,558,908,036/129,902
  6. Step 6: Final answer
    x = 597,057.07

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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.