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Finding the Third Proportional to 78,857 and 170,350

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Solution

The third proportional to 78,857 and 170,350 is: 367,996.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857 : 170,350 = 170,350 : x
  2. Step 2: Convert to fraction form
    78,857/170,350 = 170,350/x
  3. Step 3: Cross multiply
    78,857x = 170,350 × 170,350
  4. Step 4: Simplify right side
    78,857x = 29,019,122,500
  5. Step 5: Solve for x
    x = 29,019,122,500/78,857
  6. Step 6: Final answer
    x = 367,996.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.