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Finding the Third Proportional to 125,347.50 and 268,170.75

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Solution

The third proportional to 125,347.50 and 268,170.75 is: 573,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,347.50 : 268,170.75 = 268,170.75 : x
  2. Step 2: Convert to fraction form
    125,347.50/268,170.75 = 268,170.75/x
  3. Step 3: Cross multiply
    125,347.50x = 268,170.75 × 268,170.75
  4. Step 4: Simplify right side
    125,347.50x = 71,915,551,155.56
  5. Step 5: Solve for x
    x = 71,915,551,155.56/125,347.50
  6. Step 6: Final answer
    x = 573,729.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.