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Finding the Third Proportional to 151,560.75 and 252,588

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Solution

The third proportional to 151,560.75 and 252,588 is: 420,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,560.75 : 252,588 = 252,588 : x
  2. Step 2: Convert to fraction form
    151,560.75/252,588 = 252,588/x
  3. Step 3: Cross multiply
    151,560.75x = 252,588 × 252,588
  4. Step 4: Simplify right side
    151,560.75x = 63,800,697,744
  5. Step 5: Solve for x
    x = 63,800,697,744/151,560.75
  6. Step 6: Final answer
    x = 420,957.92

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.