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Finding the Third Proportional to 94,894 and 205,372

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Solution

The third proportional to 94,894 and 205,372 is: 444,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,894 : 205,372 = 205,372 : x
  2. Step 2: Convert to fraction form
    94,894/205,372 = 205,372/x
  3. Step 3: Cross multiply
    94,894x = 205,372 × 205,372
  4. Step 4: Simplify right side
    94,894x = 42,177,658,384
  5. Step 5: Solve for x
    x = 42,177,658,384/94,894
  6. Step 6: Final answer
    x = 444,471.29

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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.