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Finding the Third Proportional to 94,276.38 and 203,305

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Solution

The third proportional to 94,276.38 and 203,305 is: 438,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,276.38 : 203,305 = 203,305 : x
  2. Step 2: Convert to fraction form
    94,276.38/203,305 = 203,305/x
  3. Step 3: Cross multiply
    94,276.38x = 203,305 × 203,305
  4. Step 4: Simplify right side
    94,276.38x = 41,332,923,025
  5. Step 5: Solve for x
    x = 41,332,923,025/94,276.38
  6. Step 6: Final answer
    x = 438,422.91

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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.