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Finding the Third Proportional to 231,632 and 349,931

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Solution

The third proportional to 231,632 and 349,931 is: 528,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,632 : 349,931 = 349,931 : x
  2. Step 2: Convert to fraction form
    231,632/349,931 = 349,931/x
  3. Step 3: Cross multiply
    231,632x = 349,931 × 349,931
  4. Step 4: Simplify right side
    231,632x = 122,451,704,761
  5. Step 5: Solve for x
    x = 122,451,704,761/231,632
  6. Step 6: Final answer
    x = 528,647.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.