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Finding the Third Proportional to 198,344 and 306,264

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Solution

The third proportional to 198,344 and 306,264 is: 472,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,344 : 306,264 = 306,264 : x
  2. Step 2: Convert to fraction form
    198,344/306,264 = 306,264/x
  3. Step 3: Cross multiply
    198,344x = 306,264 × 306,264
  4. Step 4: Simplify right side
    198,344x = 93,797,637,696
  5. Step 5: Solve for x
    x = 93,797,637,696/198,344
  6. Step 6: Final answer
    x = 472,903.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.