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Finding the Third Proportional to 221,320 and 341,744

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Solution

The third proportional to 221,320 and 341,744 is: 527,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,320 : 341,744 = 341,744 : x
  2. Step 2: Convert to fraction form
    221,320/341,744 = 341,744/x
  3. Step 3: Cross multiply
    221,320x = 341,744 × 341,744
  4. Step 4: Simplify right side
    221,320x = 116,788,961,536
  5. Step 5: Solve for x
    x = 116,788,961,536/221,320
  6. Step 6: Final answer
    x = 527,692.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.