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Finding the Third Proportional to 169,228 and 224,635

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Solution

The third proportional to 169,228 and 224,635 is: 298,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,228 : 224,635 = 224,635 : x
  2. Step 2: Convert to fraction form
    169,228/224,635 = 224,635/x
  3. Step 3: Cross multiply
    169,228x = 224,635 × 224,635
  4. Step 4: Simplify right side
    169,228x = 50,460,883,225
  5. Step 5: Solve for x
    x = 50,460,883,225/169,228
  6. Step 6: Final answer
    x = 298,182.83

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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.