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Finding the Third Proportional to 86,494 and 186,326

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Solution

The third proportional to 86,494 and 186,326 is: 401,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,494 : 186,326 = 186,326 : x
  2. Step 2: Convert to fraction form
    86,494/186,326 = 186,326/x
  3. Step 3: Cross multiply
    86,494x = 186,326 × 186,326
  4. Step 4: Simplify right side
    86,494x = 34,717,378,276
  5. Step 5: Solve for x
    x = 34,717,378,276/86,494
  6. Step 6: Final answer
    x = 401,384.82

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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.