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Finding the Third Proportional to 86,283 and 185,374

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Solution

The third proportional to 86,283 and 185,374 is: 398,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,283 : 185,374 = 185,374 : x
  2. Step 2: Convert to fraction form
    86,283/185,374 = 185,374/x
  3. Step 3: Cross multiply
    86,283x = 185,374 × 185,374
  4. Step 4: Simplify right side
    86,283x = 34,363,519,876
  5. Step 5: Solve for x
    x = 34,363,519,876/86,283
  6. Step 6: Final answer
    x = 398,265.24

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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.