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Finding the Third Proportional to 181,867 and 424,829

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Solution

The third proportional to 181,867 and 424,829 is: 992,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,867 : 424,829 = 424,829 : x
  2. Step 2: Convert to fraction form
    181,867/424,829 = 424,829/x
  3. Step 3: Cross multiply
    181,867x = 424,829 × 424,829
  4. Step 4: Simplify right side
    181,867x = 180,479,679,241
  5. Step 5: Solve for x
    x = 180,479,679,241/181,867
  6. Step 6: Final answer
    x = 992,371.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.