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Finding the Third Proportional to 100,177 and 217,741

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Solution

The third proportional to 100,177 and 217,741 is: 473,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177 : 217,741 = 217,741 : x
  2. Step 2: Convert to fraction form
    100,177/217,741 = 217,741/x
  3. Step 3: Cross multiply
    100,177x = 217,741 × 217,741
  4. Step 4: Simplify right side
    100,177x = 47,411,143,081
  5. Step 5: Solve for x
    x = 47,411,143,081/100,177
  6. Step 6: Final answer
    x = 473,273.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.