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Finding the Third Proportional to 195,993 and 415,537

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Solution

The third proportional to 195,993 and 415,537 is: 881,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,993 : 415,537 = 415,537 : x
  2. Step 2: Convert to fraction form
    195,993/415,537 = 415,537/x
  3. Step 3: Cross multiply
    195,993x = 415,537 × 415,537
  4. Step 4: Simplify right side
    195,993x = 172,670,998,369
  5. Step 5: Solve for x
    x = 172,670,998,369/195,993
  6. Step 6: Final answer
    x = 881,005.95

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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.