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Finding the Third Proportional to 227,006.50 and 318,142.75

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Solution

The third proportional to 227,006.50 and 318,142.75 is: 445,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,006.50 : 318,142.75 = 318,142.75 : x
  2. Step 2: Convert to fraction form
    227,006.50/318,142.75 = 318,142.75/x
  3. Step 3: Cross multiply
    227,006.50x = 318,142.75 × 318,142.75
  4. Step 4: Simplify right side
    227,006.50x = 101,214,809,377.56
  5. Step 5: Solve for x
    x = 101,214,809,377.56/227,006.50
  6. Step 6: Final answer
    x = 445,867.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.