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Finding the Third Proportional to 94,283 and 204,638

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Solution

The third proportional to 94,283 and 204,638 is: 444,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,283 : 204,638 = 204,638 : x
  2. Step 2: Convert to fraction form
    94,283/204,638 = 204,638/x
  3. Step 3: Cross multiply
    94,283x = 204,638 × 204,638
  4. Step 4: Simplify right side
    94,283x = 41,876,711,044
  5. Step 5: Solve for x
    x = 41,876,711,044/94,283
  6. Step 6: Final answer
    x = 444,159.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.