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Finding the Third Proportional to 348.05 and 400.57

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Solution

The third proportional to 348.05 and 400.57 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 400.57 = 400.57 : x
  2. Step 2: Convert to fraction form
    348.05/400.57 = 400.57/x
  3. Step 3: Cross multiply
    348.05x = 400.57 × 400.57
  4. Step 4: Simplify right side
    348.05x = 160,456.58
  5. Step 5: Solve for x
    x = 160,456.58/348.05
  6. Step 6: Final answer
    x = 461.02

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.