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Finding the Third Proportional to 168,422 and 363,554

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Solution

The third proportional to 168,422 and 363,554 is: 784,763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,422 : 363,554 = 363,554 : x
  2. Step 2: Convert to fraction form
    168,422/363,554 = 363,554/x
  3. Step 3: Cross multiply
    168,422x = 363,554 × 363,554
  4. Step 4: Simplify right side
    168,422x = 132,171,510,916
  5. Step 5: Solve for x
    x = 132,171,510,916/168,422
  6. Step 6: Final answer
    x = 784,763.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.