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Finding the Third Proportional to 204,266 and 305,163

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Solution

The third proportional to 204,266 and 305,163 is: 455,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,266 : 305,163 = 305,163 : x
  2. Step 2: Convert to fraction form
    204,266/305,163 = 305,163/x
  3. Step 3: Cross multiply
    204,266x = 305,163 × 305,163
  4. Step 4: Simplify right side
    204,266x = 93,124,456,569
  5. Step 5: Solve for x
    x = 93,124,456,569/204,266
  6. Step 6: Final answer
    x = 455,897.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.