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Finding the Third Proportional to 96,327 and 207,558

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Solution

The third proportional to 96,327 and 207,558 is: 447,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,327 : 207,558 = 207,558 : x
  2. Step 2: Convert to fraction form
    96,327/207,558 = 207,558/x
  3. Step 3: Cross multiply
    96,327x = 207,558 × 207,558
  4. Step 4: Simplify right side
    96,327x = 43,080,323,364
  5. Step 5: Solve for x
    x = 43,080,323,364/96,327
  6. Step 6: Final answer
    x = 447,229.99

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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.