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Finding the Third Proportional to 109,344 and 231,360

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Solution

The third proportional to 109,344 and 231,360 is: 489,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,344 : 231,360 = 231,360 : x
  2. Step 2: Convert to fraction form
    109,344/231,360 = 231,360/x
  3. Step 3: Cross multiply
    109,344x = 231,360 × 231,360
  4. Step 4: Simplify right side
    109,344x = 53,527,449,600
  5. Step 5: Solve for x
    x = 53,527,449,600/109,344
  6. Step 6: Final answer
    x = 489,532.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.