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Finding the Third Proportional to 257,853.38 and 394,191.56

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Solution

The third proportional to 257,853.38 and 394,191.56 is: 602,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,853.38 : 394,191.56 = 394,191.56 : x
  2. Step 2: Convert to fraction form
    257,853.38/394,191.56 = 394,191.56/x
  3. Step 3: Cross multiply
    257,853.38x = 394,191.56 × 394,191.56
  4. Step 4: Simplify right side
    257,853.38x = 155,386,987,946.19
  5. Step 5: Solve for x
    x = 155,386,987,946.19/257,853.38
  6. Step 6: Final answer
    x = 602,617.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.