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Finding the Third Proportional to 177,672.38 and 388,558.13

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Solution

The third proportional to 177,672.38 and 388,558.13 is: 849,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,672.38 : 388,558.13 = 388,558.13 : x
  2. Step 2: Convert to fraction form
    177,672.38/388,558.13 = 388,558.13/x
  3. Step 3: Cross multiply
    177,672.38x = 388,558.13 × 388,558.13
  4. Step 4: Simplify right side
    177,672.38x = 150,977,416,503.52
  5. Step 5: Solve for x
    x = 150,977,416,503.52/177,672.38
  6. Step 6: Final answer
    x = 849,751.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.