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Finding the Third Proportional to 149,418 and 224,289

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Solution

The third proportional to 149,418 and 224,289 is: 336,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,418 : 224,289 = 224,289 : x
  2. Step 2: Convert to fraction form
    149,418/224,289 = 224,289/x
  3. Step 3: Cross multiply
    149,418x = 224,289 × 224,289
  4. Step 4: Simplify right side
    149,418x = 50,305,555,521
  5. Step 5: Solve for x
    x = 50,305,555,521/149,418
  6. Step 6: Final answer
    x = 336,676.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.