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Finding the Third Proportional to 342 and 398.25

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Solution

The third proportional to 342 and 398.25 is: 463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 398.25 = 398.25 : x
  2. Step 2: Convert to fraction form
    342/398.25 = 398.25/x
  3. Step 3: Cross multiply
    342x = 398.25 × 398.25
  4. Step 4: Simplify right side
    342x = 158,603.06
  5. Step 5: Solve for x
    x = 158,603.06/342
  6. Step 6: Final answer
    x = 463.75

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.