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Finding the Third Proportional to 177,778.13 and 387,510.75

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Solution

The third proportional to 177,778.13 and 387,510.75 is: 844,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,778.13 : 387,510.75 = 387,510.75 : x
  2. Step 2: Convert to fraction form
    177,778.13/387,510.75 = 387,510.75/x
  3. Step 3: Cross multiply
    177,778.13x = 387,510.75 × 387,510.75
  4. Step 4: Simplify right side
    177,778.13x = 150,164,581,365.56
  5. Step 5: Solve for x
    x = 150,164,581,365.56/177,778.13
  6. Step 6: Final answer
    x = 844,674.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.