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Finding the Third Proportional to 177,034.50 and 389,061

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Solution

The third proportional to 177,034.50 and 389,061 is: 855,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,034.50 : 389,061 = 389,061 : x
  2. Step 2: Convert to fraction form
    177,034.50/389,061 = 389,061/x
  3. Step 3: Cross multiply
    177,034.50x = 389,061 × 389,061
  4. Step 4: Simplify right side
    177,034.50x = 151,368,461,721
  5. Step 5: Solve for x
    x = 151,368,461,721/177,034.50
  6. Step 6: Final answer
    x = 855,022.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.