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Finding the Third Proportional to 80,448.75 and 176,652

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Solution

The third proportional to 80,448.75 and 176,652 is: 387,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,448.75 : 176,652 = 176,652 : x
  2. Step 2: Convert to fraction form
    80,448.75/176,652 = 176,652/x
  3. Step 3: Cross multiply
    80,448.75x = 176,652 × 176,652
  4. Step 4: Simplify right side
    80,448.75x = 31,205,929,104
  5. Step 5: Solve for x
    x = 31,205,929,104/80,448.75
  6. Step 6: Final answer
    x = 387,898.25

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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.