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Finding the Third Proportional to 151,572 and 252,605

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Solution

The third proportional to 151,572 and 252,605 is: 420,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,572 : 252,605 = 252,605 : x
  2. Step 2: Convert to fraction form
    151,572/252,605 = 252,605/x
  3. Step 3: Cross multiply
    151,572x = 252,605 × 252,605
  4. Step 4: Simplify right side
    151,572x = 63,809,286,025
  5. Step 5: Solve for x
    x = 63,809,286,025/151,572
  6. Step 6: Final answer
    x = 420,983.33

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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.