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Finding the Third Proportional to 204,158 and 306,441

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Solution

The third proportional to 204,158 and 306,441 is: 459,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,158 : 306,441 = 306,441 : x
  2. Step 2: Convert to fraction form
    204,158/306,441 = 306,441/x
  3. Step 3: Cross multiply
    204,158x = 306,441 × 306,441
  4. Step 4: Simplify right side
    204,158x = 93,906,086,481
  5. Step 5: Solve for x
    x = 93,906,086,481/204,158
  6. Step 6: Final answer
    x = 459,967.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.