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Finding the Third Proportional to 239.86 and 497.72

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Solution

The third proportional to 239.86 and 497.72 is: 1,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.86 : 497.72 = 497.72 : x
  2. Step 2: Convert to fraction form
    239.86/497.72 = 497.72/x
  3. Step 3: Cross multiply
    239.86x = 497.72 × 497.72
  4. Step 4: Simplify right side
    239.86x = 247,723.95
  5. Step 5: Solve for x
    x = 247,723.95/239.86
  6. Step 6: Final answer
    x = 1,032.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.