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Finding the Third Proportional to 80,730 and 177,378.75

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Solution

The third proportional to 80,730 and 177,378.75 is: 389,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730 : 177,378.75 = 177,378.75 : x
  2. Step 2: Convert to fraction form
    80,730/177,378.75 = 177,378.75/x
  3. Step 3: Cross multiply
    80,730x = 177,378.75 × 177,378.75
  4. Step 4: Simplify right side
    80,730x = 31,463,220,951.56
  5. Step 5: Solve for x
    x = 31,463,220,951.56/80,730
  6. Step 6: Final answer
    x = 389,733.94

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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.