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Finding the Third Proportional to 342.14 and 520.17

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Solution

The third proportional to 342.14 and 520.17 is: 790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 520.17 = 520.17 : x
  2. Step 2: Convert to fraction form
    342.14/520.17 = 520.17/x
  3. Step 3: Cross multiply
    342.14x = 520.17 × 520.17
  4. Step 4: Simplify right side
    342.14x = 270,578.78
  5. Step 5: Solve for x
    x = 270,578.78/342.14
  6. Step 6: Final answer
    x = 790.84

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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.