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Finding the Third Proportional to 125,498 and 244,690

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Solution

The third proportional to 125,498 and 244,690 is: 477,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,498 : 244,690 = 244,690 : x
  2. Step 2: Convert to fraction form
    125,498/244,690 = 244,690/x
  3. Step 3: Cross multiply
    125,498x = 244,690 × 244,690
  4. Step 4: Simplify right side
    125,498x = 59,873,196,100
  5. Step 5: Solve for x
    x = 59,873,196,100/125,498
  6. Step 6: Final answer
    x = 477,084.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.