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Finding the Third Proportional to 119,865 and 258,413

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Solution

The third proportional to 119,865 and 258,413 is: 557,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,865 : 258,413 = 258,413 : x
  2. Step 2: Convert to fraction form
    119,865/258,413 = 258,413/x
  3. Step 3: Cross multiply
    119,865x = 258,413 × 258,413
  4. Step 4: Simplify right side
    119,865x = 66,777,278,569
  5. Step 5: Solve for x
    x = 66,777,278,569/119,865
  6. Step 6: Final answer
    x = 557,104.06

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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.