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Finding the Third Proportional to 147,204 and 195,750

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Solution

The third proportional to 147,204 and 195,750 is: 260,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,204 : 195,750 = 195,750 : x
  2. Step 2: Convert to fraction form
    147,204/195,750 = 195,750/x
  3. Step 3: Cross multiply
    147,204x = 195,750 × 195,750
  4. Step 4: Simplify right side
    147,204x = 38,318,062,500
  5. Step 5: Solve for x
    x = 38,318,062,500/147,204
  6. Step 6: Final answer
    x = 260,305.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.