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Finding the Third Proportional to 107,737 and 231,462

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Solution

The third proportional to 107,737 and 231,462 is: 497,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,737 : 231,462 = 231,462 : x
  2. Step 2: Convert to fraction form
    107,737/231,462 = 231,462/x
  3. Step 3: Cross multiply
    107,737x = 231,462 × 231,462
  4. Step 4: Simplify right side
    107,737x = 53,574,657,444
  5. Step 5: Solve for x
    x = 53,574,657,444/107,737
  6. Step 6: Final answer
    x = 497,272.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.