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Finding the Third Proportional to 177,891.19 and 282,925.41

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Solution

The third proportional to 177,891.19 and 282,925.41 is: 449,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,891.19 : 282,925.41 = 282,925.41 : x
  2. Step 2: Convert to fraction form
    177,891.19/282,925.41 = 282,925.41/x
  3. Step 3: Cross multiply
    177,891.19x = 282,925.41 × 282,925.41
  4. Step 4: Simplify right side
    177,891.19x = 80,046,785,501.73
  5. Step 5: Solve for x
    x = 80,046,785,501.73/177,891.19
  6. Step 6: Final answer
    x = 449,976.12

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