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Finding the Third Proportional to 86,694 and 180,261

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Solution

The third proportional to 86,694 and 180,261 is: 374,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,694 : 180,261 = 180,261 : x
  2. Step 2: Convert to fraction form
    86,694/180,261 = 180,261/x
  3. Step 3: Cross multiply
    86,694x = 180,261 × 180,261
  4. Step 4: Simplify right side
    86,694x = 32,494,028,121
  5. Step 5: Solve for x
    x = 32,494,028,121/86,694
  6. Step 6: Final answer
    x = 374,812.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.