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Finding the Third Proportional to 224 and 541

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Solution

The third proportional to 224 and 541 is: 1,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 541 = 541 : x
  2. Step 2: Convert to fraction form
    224/541 = 541/x
  3. Step 3: Cross multiply
    224x = 541 × 541
  4. Step 4: Simplify right side
    224x = 292,681
  5. Step 5: Solve for x
    x = 292,681/224
  6. Step 6: Final answer
    x = 1,306.61

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.