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Finding the Third Proportional to 107,451 and 231,411

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Solution

The third proportional to 107,451 and 231,411 is: 498,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,451 : 231,411 = 231,411 : x
  2. Step 2: Convert to fraction form
    107,451/231,411 = 231,411/x
  3. Step 3: Cross multiply
    107,451x = 231,411 × 231,411
  4. Step 4: Simplify right side
    107,451x = 53,551,050,921
  5. Step 5: Solve for x
    x = 53,551,050,921/107,451
  6. Step 6: Final answer
    x = 498,376.48

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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.