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Finding the Third Proportional to 86,539 and 186,470

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Solution

The third proportional to 86,539 and 186,470 is: 401,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539 : 186,470 = 186,470 : x
  2. Step 2: Convert to fraction form
    86,539/186,470 = 186,470/x
  3. Step 3: Cross multiply
    86,539x = 186,470 × 186,470
  4. Step 4: Simplify right side
    86,539x = 34,771,060,900
  5. Step 5: Solve for x
    x = 34,771,060,900/86,539
  6. Step 6: Final answer
    x = 401,796.43

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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.