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Finding the Third Proportional to 177,195.94 and 284,244.19

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Solution

The third proportional to 177,195.94 and 284,244.19 is: 455,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,195.94 : 284,244.19 = 284,244.19 : x
  2. Step 2: Convert to fraction form
    177,195.94/284,244.19 = 284,244.19/x
  3. Step 3: Cross multiply
    177,195.94x = 284,244.19 × 284,244.19
  4. Step 4: Simplify right side
    177,195.94x = 80,794,758,127.54
  5. Step 5: Solve for x
    x = 80,794,758,127.54/177,195.94
  6. Step 6: Final answer
    x = 455,962.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.