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Finding the Third Proportional to 119,866 and 258,414

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Solution

The third proportional to 119,866 and 258,414 is: 557,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,866 : 258,414 = 258,414 : x
  2. Step 2: Convert to fraction form
    119,866/258,414 = 258,414/x
  3. Step 3: Cross multiply
    119,866x = 258,414 × 258,414
  4. Step 4: Simplify right side
    119,866x = 66,777,795,396
  5. Step 5: Solve for x
    x = 66,777,795,396/119,866
  6. Step 6: Final answer
    x = 557,103.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.