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Finding the Third Proportional to 65,863 and 155,327

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Solution

The third proportional to 65,863 and 155,327 is: 366,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,863 : 155,327 = 155,327 : x
  2. Step 2: Convert to fraction form
    65,863/155,327 = 155,327/x
  3. Step 3: Cross multiply
    65,863x = 155,327 × 155,327
  4. Step 4: Simplify right side
    65,863x = 24,126,476,929
  5. Step 5: Solve for x
    x = 24,126,476,929/65,863
  6. Step 6: Final answer
    x = 366,313.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.