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Finding the Third Proportional to 94,320 and 203,872

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Solution

The third proportional to 94,320 and 203,872 is: 440,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,320 : 203,872 = 203,872 : x
  2. Step 2: Convert to fraction form
    94,320/203,872 = 203,872/x
  3. Step 3: Cross multiply
    94,320x = 203,872 × 203,872
  4. Step 4: Simplify right side
    94,320x = 41,563,792,384
  5. Step 5: Solve for x
    x = 41,563,792,384/94,320
  6. Step 6: Final answer
    x = 440,667.86

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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.