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Finding the Third Proportional to 243.27 and 348.69

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Solution

The third proportional to 243.27 and 348.69 is: 499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.27 : 348.69 = 348.69 : x
  2. Step 2: Convert to fraction form
    243.27/348.69 = 348.69/x
  3. Step 3: Cross multiply
    243.27x = 348.69 × 348.69
  4. Step 4: Simplify right side
    243.27x = 121,587.01
  5. Step 5: Solve for x
    x = 121,587.01/243.27
  6. Step 6: Final answer
    x = 499.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.