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Finding the Third Proportional to 94,789 and 204,265

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Solution

The third proportional to 94,789 and 204,265 is: 440,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,789 : 204,265 = 204,265 : x
  2. Step 2: Convert to fraction form
    94,789/204,265 = 204,265/x
  3. Step 3: Cross multiply
    94,789x = 204,265 × 204,265
  4. Step 4: Simplify right side
    94,789x = 41,724,190,225
  5. Step 5: Solve for x
    x = 41,724,190,225/94,789
  6. Step 6: Final answer
    x = 440,179.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.