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Finding the Third Proportional to 86,580 and 186,534

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Solution

The third proportional to 86,580 and 186,534 is: 401,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580 : 186,534 = 186,534 : x
  2. Step 2: Convert to fraction form
    86,580/186,534 = 186,534/x
  3. Step 3: Cross multiply
    86,580x = 186,534 × 186,534
  4. Step 4: Simplify right side
    86,580x = 34,794,933,156
  5. Step 5: Solve for x
    x = 34,794,933,156/86,580
  6. Step 6: Final answer
    x = 401,881.88

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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.