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Finding the Third Proportional to 195,995 and 415,540

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Solution

The third proportional to 195,995 and 415,540 is: 881,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,995 : 415,540 = 415,540 : x
  2. Step 2: Convert to fraction form
    195,995/415,540 = 415,540/x
  3. Step 3: Cross multiply
    195,995x = 415,540 × 415,540
  4. Step 4: Simplify right side
    195,995x = 172,673,491,600
  5. Step 5: Solve for x
    x = 172,673,491,600/195,995
  6. Step 6: Final answer
    x = 881,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.