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Finding the Third Proportional to 107,376.75 and 231,246

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Solution

The third proportional to 107,376.75 and 231,246 is: 498,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,376.75 : 231,246 = 231,246 : x
  2. Step 2: Convert to fraction form
    107,376.75/231,246 = 231,246/x
  3. Step 3: Cross multiply
    107,376.75x = 231,246 × 231,246
  4. Step 4: Simplify right side
    107,376.75x = 53,474,712,516
  5. Step 5: Solve for x
    x = 53,474,712,516/107,376.75
  6. Step 6: Final answer
    x = 498,010.16

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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.