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Finding the Third Proportional to 341 and 500

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Solution

The third proportional to 341 and 500 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341 : 500 = 500 : x
  2. Step 2: Convert to fraction form
    341/500 = 500/x
  3. Step 3: Cross multiply
    341x = 500 × 500
  4. Step 4: Simplify right side
    341x = 250,000
  5. Step 5: Solve for x
    x = 250,000/341
  6. Step 6: Final answer
    x = 733.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.