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Finding the Third Proportional to 86,470 and 186,282

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Solution

The third proportional to 86,470 and 186,282 is: 401,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,470 : 186,282 = 186,282 : x
  2. Step 2: Convert to fraction form
    86,470/186,282 = 186,282/x
  3. Step 3: Cross multiply
    86,470x = 186,282 × 186,282
  4. Step 4: Simplify right side
    86,470x = 34,700,983,524
  5. Step 5: Solve for x
    x = 34,700,983,524/86,470
  6. Step 6: Final answer
    x = 401,306.62

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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.