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Finding the Third Proportional to 240.66 and 348.56

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Solution

The third proportional to 240.66 and 348.56 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.66 : 348.56 = 348.56 : x
  2. Step 2: Convert to fraction form
    240.66/348.56 = 348.56/x
  3. Step 3: Cross multiply
    240.66x = 348.56 × 348.56
  4. Step 4: Simplify right side
    240.66x = 121,495.82
  5. Step 5: Solve for x
    x = 121,495.82/240.66
  6. Step 6: Final answer
    x = 504.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.