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Finding the Third Proportional to 166,299 and 224,743

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Solution

The third proportional to 166,299 and 224,743 is: 303,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,299 : 224,743 = 224,743 : x
  2. Step 2: Convert to fraction form
    166,299/224,743 = 224,743/x
  3. Step 3: Cross multiply
    166,299x = 224,743 × 224,743
  4. Step 4: Simplify right side
    166,299x = 50,509,416,049
  5. Step 5: Solve for x
    x = 50,509,416,049/166,299
  6. Step 6: Final answer
    x = 303,726.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.