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Finding the Third Proportional to 207,934 and 453,181

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Solution

The third proportional to 207,934 and 453,181 is: 987,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,934 : 453,181 = 453,181 : x
  2. Step 2: Convert to fraction form
    207,934/453,181 = 453,181/x
  3. Step 3: Cross multiply
    207,934x = 453,181 × 453,181
  4. Step 4: Simplify right side
    207,934x = 205,373,018,761
  5. Step 5: Solve for x
    x = 205,373,018,761/207,934
  6. Step 6: Final answer
    x = 987,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.