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Finding the Third Proportional to 203,472 and 315,432

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Solution

The third proportional to 203,472 and 315,432 is: 488,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472 : 315,432 = 315,432 : x
  2. Step 2: Convert to fraction form
    203,472/315,432 = 315,432/x
  3. Step 3: Cross multiply
    203,472x = 315,432 × 315,432
  4. Step 4: Simplify right side
    203,472x = 99,497,346,624
  5. Step 5: Solve for x
    x = 99,497,346,624/203,472
  6. Step 6: Final answer
    x = 488,997.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.