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Finding the Third Proportional to 316,149.75 and 474,234.75

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Solution

The third proportional to 316,149.75 and 474,234.75 is: 711,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,149.75 : 474,234.75 = 474,234.75 : x
  2. Step 2: Convert to fraction form
    316,149.75/474,234.75 = 474,234.75/x
  3. Step 3: Cross multiply
    316,149.75x = 474,234.75 × 474,234.75
  4. Step 4: Simplify right side
    316,149.75x = 224,898,598,107.56
  5. Step 5: Solve for x
    x = 224,898,598,107.56/316,149.75
  6. Step 6: Final answer
    x = 711,367.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.