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Finding the Third Proportional to 86,517 and 185,334.75

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Solution

The third proportional to 86,517 and 185,334.75 is: 397,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517 : 185,334.75 = 185,334.75 : x
  2. Step 2: Convert to fraction form
    86,517/185,334.75 = 185,334.75/x
  3. Step 3: Cross multiply
    86,517x = 185,334.75 × 185,334.75
  4. Step 4: Simplify right side
    86,517x = 34,348,969,557.56
  5. Step 5: Solve for x
    x = 34,348,969,557.56/86,517
  6. Step 6: Final answer
    x = 397,019.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.