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Finding the Third Proportional to 206,758.50 and 313,255.50

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Solution

The third proportional to 206,758.50 and 313,255.50 is: 474,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,758.50 : 313,255.50 = 313,255.50 : x
  2. Step 2: Convert to fraction form
    206,758.50/313,255.50 = 313,255.50/x
  3. Step 3: Cross multiply
    206,758.50x = 313,255.50 × 313,255.50
  4. Step 4: Simplify right side
    206,758.50x = 98,129,008,280.25
  5. Step 5: Solve for x
    x = 98,129,008,280.25/206,758.50
  6. Step 6: Final answer
    x = 474,606.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.