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Finding the Third Proportional to 177,559.25 and 381,470.50

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Solution

The third proportional to 177,559.25 and 381,470.50 is: 819,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,559.25 : 381,470.50 = 381,470.50 : x
  2. Step 2: Convert to fraction form
    177,559.25/381,470.50 = 381,470.50/x
  3. Step 3: Cross multiply
    177,559.25x = 381,470.50 × 381,470.50
  4. Step 4: Simplify right side
    177,559.25x = 145,519,742,370.25
  5. Step 5: Solve for x
    x = 145,519,742,370.25/177,559.25
  6. Step 6: Final answer
    x = 819,555.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.