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Finding the Third Proportional to 80,850 and 175,857

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Solution

The third proportional to 80,850 and 175,857 is: 382,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,850 : 175,857 = 175,857 : x
  2. Step 2: Convert to fraction form
    80,850/175,857 = 175,857/x
  3. Step 3: Cross multiply
    80,850x = 175,857 × 175,857
  4. Step 4: Simplify right side
    80,850x = 30,925,684,449
  5. Step 5: Solve for x
    x = 30,925,684,449/80,850
  6. Step 6: Final answer
    x = 382,506.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.