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Finding the Third Proportional to 122,304 and 258,432

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Solution

The third proportional to 122,304 and 258,432 is: 546,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,304 : 258,432 = 258,432 : x
  2. Step 2: Convert to fraction form
    122,304/258,432 = 258,432/x
  3. Step 3: Cross multiply
    122,304x = 258,432 × 258,432
  4. Step 4: Simplify right side
    122,304x = 66,787,098,624
  5. Step 5: Solve for x
    x = 66,787,098,624/122,304
  6. Step 6: Final answer
    x = 546,074.52

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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.