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Finding the Third Proportional to 181,323 and 396,909

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Solution

The third proportional to 181,323 and 396,909 is: 868,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,323 : 396,909 = 396,909 : x
  2. Step 2: Convert to fraction form
    181,323/396,909 = 396,909/x
  3. Step 3: Cross multiply
    181,323x = 396,909 × 396,909
  4. Step 4: Simplify right side
    181,323x = 157,536,754,281
  5. Step 5: Solve for x
    x = 157,536,754,281/181,323
  6. Step 6: Final answer
    x = 868,818.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.