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Finding the Third Proportional to 341 and 402

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Solution

The third proportional to 341 and 402 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 402 = 402 : x
  2. Step 2: Convert to fraction form
    341/402 = 402/x
  3. Step 3: Cross multiply
    341x = 402 × 402
  4. Step 4: Simplify right side
    341x = 161,604
  5. Step 5: Solve for x
    x = 161,604/341
  6. Step 6: Final answer
    x = 473.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.