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Finding the Third Proportional to 108,177 and 231,957

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Solution

The third proportional to 108,177 and 231,957 is: 497,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,177 : 231,957 = 231,957 : x
  2. Step 2: Convert to fraction form
    108,177/231,957 = 231,957/x
  3. Step 3: Cross multiply
    108,177x = 231,957 × 231,957
  4. Step 4: Simplify right side
    108,177x = 53,804,049,849
  5. Step 5: Solve for x
    x = 53,804,049,849/108,177
  6. Step 6: Final answer
    x = 497,370.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.