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Finding the Third Proportional to 94,892 and 205,368

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Solution

The third proportional to 94,892 and 205,368 is: 444,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,892 : 205,368 = 205,368 : x
  2. Step 2: Convert to fraction form
    94,892/205,368 = 205,368/x
  3. Step 3: Cross multiply
    94,892x = 205,368 × 205,368
  4. Step 4: Simplify right side
    94,892x = 42,176,015,424
  5. Step 5: Solve for x
    x = 42,176,015,424/94,892
  6. Step 6: Final answer
    x = 444,463.34

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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.