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Finding the Third Proportional to 177,384.94 and 282,391.31

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Solution

The third proportional to 177,384.94 and 282,391.31 is: 449,558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,384.94 : 282,391.31 = 282,391.31 : x
  2. Step 2: Convert to fraction form
    177,384.94/282,391.31 = 282,391.31/x
  3. Step 3: Cross multiply
    177,384.94x = 282,391.31 × 282,391.31
  4. Step 4: Simplify right side
    177,384.94x = 79,744,853,375.47
  5. Step 5: Solve for x
    x = 79,744,853,375.47/177,384.94
  6. Step 6: Final answer
    x = 449,558.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.