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Finding the Third Proportional to 182,246.75 and 394,445.50

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Solution

The third proportional to 182,246.75 and 394,445.50 is: 853,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,246.75 : 394,445.50 = 394,445.50 : x
  2. Step 2: Convert to fraction form
    182,246.75/394,445.50 = 394,445.50/x
  3. Step 3: Cross multiply
    182,246.75x = 394,445.50 × 394,445.50
  4. Step 4: Simplify right side
    182,246.75x = 155,587,252,470.25
  5. Step 5: Solve for x
    x = 155,587,252,470.25/182,246.75
  6. Step 6: Final answer
    x = 853,717.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.