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Finding the Third Proportional to 167,726 and 227,909

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Solution

The third proportional to 167,726 and 227,909 is: 309,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,726 : 227,909 = 227,909 : x
  2. Step 2: Convert to fraction form
    167,726/227,909 = 227,909/x
  3. Step 3: Cross multiply
    167,726x = 227,909 × 227,909
  4. Step 4: Simplify right side
    167,726x = 51,942,512,281
  5. Step 5: Solve for x
    x = 51,942,512,281/167,726
  6. Step 6: Final answer
    x = 309,686.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.