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Finding the Third Proportional to 82,255.50 and 179,566.88

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Solution

The third proportional to 82,255.50 and 179,566.88 is: 392,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,255.50 : 179,566.88 = 179,566.88 : x
  2. Step 2: Convert to fraction form
    82,255.50/179,566.88 = 179,566.88/x
  3. Step 3: Cross multiply
    82,255.50x = 179,566.88 × 179,566.88
  4. Step 4: Simplify right side
    82,255.50x = 32,244,262,597.27
  5. Step 5: Solve for x
    x = 32,244,262,597.27/82,255.50
  6. Step 6: Final answer
    x = 392,001.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.