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Finding the Third Proportional to 177,862.50 and 419,851.69

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Solution

The third proportional to 177,862.50 and 419,851.69 is: 991,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,862.50 : 419,851.69 = 419,851.69 : x
  2. Step 2: Convert to fraction form
    177,862.50/419,851.69 = 419,851.69/x
  3. Step 3: Cross multiply
    177,862.50x = 419,851.69 × 419,851.69
  4. Step 4: Simplify right side
    177,862.50x = 176,275,439,496.60
  5. Step 5: Solve for x
    x = 176,275,439,496.60/177,862.50
  6. Step 6: Final answer
    x = 991,077.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.