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Finding the Third Proportional to 152,292 and 327,264

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Solution

The third proportional to 152,292 and 327,264 is: 703,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,292 : 327,264 = 327,264 : x
  2. Step 2: Convert to fraction form
    152,292/327,264 = 327,264/x
  3. Step 3: Cross multiply
    152,292x = 327,264 × 327,264
  4. Step 4: Simplify right side
    152,292x = 107,101,725,696
  5. Step 5: Solve for x
    x = 107,101,725,696/152,292
  6. Step 6: Final answer
    x = 703,265.61

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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.