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Finding the Third Proportional to 195,808 and 417,218

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Solution

The third proportional to 195,808 and 417,218 is: 888,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,808 : 417,218 = 417,218 : x
  2. Step 2: Convert to fraction form
    195,808/417,218 = 417,218/x
  3. Step 3: Cross multiply
    195,808x = 417,218 × 417,218
  4. Step 4: Simplify right side
    195,808x = 174,070,859,524
  5. Step 5: Solve for x
    x = 174,070,859,524/195,808
  6. Step 6: Final answer
    x = 888,987.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.