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Finding the Third Proportional to 94,496 and 205,597

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Solution

The third proportional to 94,496 and 205,597 is: 447,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,496 : 205,597 = 205,597 : x
  2. Step 2: Convert to fraction form
    94,496/205,597 = 205,597/x
  3. Step 3: Cross multiply
    94,496x = 205,597 × 205,597
  4. Step 4: Simplify right side
    94,496x = 42,270,126,409
  5. Step 5: Solve for x
    x = 42,270,126,409/94,496
  6. Step 6: Final answer
    x = 447,321.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.