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Finding the Third Proportional to 177,560.50 and 381,472.50

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Solution

The third proportional to 177,560.50 and 381,472.50 is: 819,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,560.50 : 381,472.50 = 381,472.50 : x
  2. Step 2: Convert to fraction form
    177,560.50/381,472.50 = 381,472.50/x
  3. Step 3: Cross multiply
    177,560.50x = 381,472.50 × 381,472.50
  4. Step 4: Simplify right side
    177,560.50x = 145,521,268,256.25
  5. Step 5: Solve for x
    x = 145,521,268,256.25/177,560.50
  6. Step 6: Final answer
    x = 819,558.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.