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Finding the Third Proportional to 149,280 and 231,132

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Solution

The third proportional to 149,280 and 231,132 is: 357,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,280 : 231,132 = 231,132 : x
  2. Step 2: Convert to fraction form
    149,280/231,132 = 231,132/x
  3. Step 3: Cross multiply
    149,280x = 231,132 × 231,132
  4. Step 4: Simplify right side
    149,280x = 53,422,001,424
  5. Step 5: Solve for x
    x = 53,422,001,424/149,280
  6. Step 6: Final answer
    x = 357,864.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.