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Finding the Third Proportional to 95,294 and 203,240

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Solution

The third proportional to 95,294 and 203,240 is: 433,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,294 : 203,240 = 203,240 : x
  2. Step 2: Convert to fraction form
    95,294/203,240 = 203,240/x
  3. Step 3: Cross multiply
    95,294x = 203,240 × 203,240
  4. Step 4: Simplify right side
    95,294x = 41,306,497,600
  5. Step 5: Solve for x
    x = 41,306,497,600/95,294
  6. Step 6: Final answer
    x = 433,463.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.