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Finding the Third Proportional to 76,314.75 and 167,854.88

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Solution

The third proportional to 76,314.75 and 167,854.88 is: 369,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.75 : 167,854.88 = 167,854.88 : x
  2. Step 2: Convert to fraction form
    76,314.75/167,854.88 = 167,854.88/x
  3. Step 3: Cross multiply
    76,314.75x = 167,854.88 × 167,854.88
  4. Step 4: Simplify right side
    76,314.75x = 28,175,259,061.27
  5. Step 5: Solve for x
    x = 28,175,259,061.27/76,314.75
  6. Step 6: Final answer
    x = 369,198.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.