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Finding the Third Proportional to 169,221 and 224,625

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Solution

The third proportional to 169,221 and 224,625 is: 298,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,221 : 224,625 = 224,625 : x
  2. Step 2: Convert to fraction form
    169,221/224,625 = 224,625/x
  3. Step 3: Cross multiply
    169,221x = 224,625 × 224,625
  4. Step 4: Simplify right side
    169,221x = 50,456,390,625
  5. Step 5: Solve for x
    x = 50,456,390,625/169,221
  6. Step 6: Final answer
    x = 298,168.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.