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Finding the Third Proportional to 177,822 and 385,155

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Solution

The third proportional to 177,822 and 385,155 is: 834,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,822 : 385,155 = 385,155 : x
  2. Step 2: Convert to fraction form
    177,822/385,155 = 385,155/x
  3. Step 3: Cross multiply
    177,822x = 385,155 × 385,155
  4. Step 4: Simplify right side
    177,822x = 148,344,374,025
  5. Step 5: Solve for x
    x = 148,344,374,025/177,822
  6. Step 6: Final answer
    x = 834,229.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.