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Finding the Third Proportional to 231,360 and 349,957

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Solution

The third proportional to 231,360 and 349,957 is: 529,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,360 : 349,957 = 349,957 : x
  2. Step 2: Convert to fraction form
    231,360/349,957 = 349,957/x
  3. Step 3: Cross multiply
    231,360x = 349,957 × 349,957
  4. Step 4: Simplify right side
    231,360x = 122,469,901,849
  5. Step 5: Solve for x
    x = 122,469,901,849/231,360
  6. Step 6: Final answer
    x = 529,347.78

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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.