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Finding the Third Proportional to 140,452 and 303,624

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Solution

The third proportional to 140,452 and 303,624 is: 656,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,452 : 303,624 = 303,624 : x
  2. Step 2: Convert to fraction form
    140,452/303,624 = 303,624/x
  3. Step 3: Cross multiply
    140,452x = 303,624 × 303,624
  4. Step 4: Simplify right side
    140,452x = 92,187,533,376
  5. Step 5: Solve for x
    x = 92,187,533,376/140,452
  6. Step 6: Final answer
    x = 656,363.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.