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Finding the Third Proportional to 119,414 and 251,788

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Solution

The third proportional to 119,414 and 251,788 is: 530,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414 : 251,788 = 251,788 : x
  2. Step 2: Convert to fraction form
    119,414/251,788 = 251,788/x
  3. Step 3: Cross multiply
    119,414x = 251,788 × 251,788
  4. Step 4: Simplify right side
    119,414x = 63,397,196,944
  5. Step 5: Solve for x
    x = 63,397,196,944/119,414
  6. Step 6: Final answer
    x = 530,902.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.