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Finding the Third Proportional to 107,177 and 232,801

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Solution

The third proportional to 107,177 and 232,801 is: 505,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,177 : 232,801 = 232,801 : x
  2. Step 2: Convert to fraction form
    107,177/232,801 = 232,801/x
  3. Step 3: Cross multiply
    107,177x = 232,801 × 232,801
  4. Step 4: Simplify right side
    107,177x = 54,196,305,601
  5. Step 5: Solve for x
    x = 54,196,305,601/107,177
  6. Step 6: Final answer
    x = 505,671.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.