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Finding the Third Proportional to 86,932 and 183,359

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Solution

The third proportional to 86,932 and 183,359 is: 386,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,932 : 183,359 = 183,359 : x
  2. Step 2: Convert to fraction form
    86,932/183,359 = 183,359/x
  3. Step 3: Cross multiply
    86,932x = 183,359 × 183,359
  4. Step 4: Simplify right side
    86,932x = 33,620,522,881
  5. Step 5: Solve for x
    x = 33,620,522,881/86,932
  6. Step 6: Final answer
    x = 386,745.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.