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Finding the Third Proportional to 80,277.75 and 176,445.84

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Solution

The third proportional to 80,277.75 and 176,445.84 is: 387,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,277.75 : 176,445.84 = 176,445.84 : x
  2. Step 2: Convert to fraction form
    80,277.75/176,445.84 = 176,445.84/x
  3. Step 3: Cross multiply
    80,277.75x = 176,445.84 × 176,445.84
  4. Step 4: Simplify right side
    80,277.75x = 31,133,135,776.65
  5. Step 5: Solve for x
    x = 31,133,135,776.65/80,277.75
  6. Step 6: Final answer
    x = 387,817.74

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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.