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Finding the Third Proportional to 169,302 and 224,747

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Solution

The third proportional to 169,302 and 224,747 is: 298,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,302 : 224,747 = 224,747 : x
  2. Step 2: Convert to fraction form
    169,302/224,747 = 224,747/x
  3. Step 3: Cross multiply
    169,302x = 224,747 × 224,747
  4. Step 4: Simplify right side
    169,302x = 50,511,214,009
  5. Step 5: Solve for x
    x = 50,511,214,009/169,302
  6. Step 6: Final answer
    x = 298,349.78

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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.