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Finding the Third Proportional to 80,275 and 175,775

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Solution

The third proportional to 80,275 and 175,775 is: 384,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,275 : 175,775 = 175,775 : x
  2. Step 2: Convert to fraction form
    80,275/175,775 = 175,775/x
  3. Step 3: Cross multiply
    80,275x = 175,775 × 175,775
  4. Step 4: Simplify right side
    80,275x = 30,896,850,625
  5. Step 5: Solve for x
    x = 30,896,850,625/80,275
  6. Step 6: Final answer
    x = 384,887.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.