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Finding the Third Proportional to 240,632 and 275,624

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Solution

The third proportional to 240,632 and 275,624 is: 315,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,632 : 275,624 = 275,624 : x
  2. Step 2: Convert to fraction form
    240,632/275,624 = 275,624/x
  3. Step 3: Cross multiply
    240,632x = 275,624 × 275,624
  4. Step 4: Simplify right side
    240,632x = 75,968,589,376
  5. Step 5: Solve for x
    x = 75,968,589,376/240,632
  6. Step 6: Final answer
    x = 315,704.43

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.