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Finding the Third Proportional to 145,540 and 231,432

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Solution

The third proportional to 145,540 and 231,432 is: 368,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,540 : 231,432 = 231,432 : x
  2. Step 2: Convert to fraction form
    145,540/231,432 = 231,432/x
  3. Step 3: Cross multiply
    145,540x = 231,432 × 231,432
  4. Step 4: Simplify right side
    145,540x = 53,560,770,624
  5. Step 5: Solve for x
    x = 53,560,770,624/145,540
  6. Step 6: Final answer
    x = 368,014.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.