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Finding the Third Proportional to 204,691.50 and 444,348

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Solution

The third proportional to 204,691.50 and 444,348 is: 964,598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,691.50 : 444,348 = 444,348 : x
  2. Step 2: Convert to fraction form
    204,691.50/444,348 = 444,348/x
  3. Step 3: Cross multiply
    204,691.50x = 444,348 × 444,348
  4. Step 4: Simplify right side
    204,691.50x = 197,445,145,104
  5. Step 5: Solve for x
    x = 197,445,145,104/204,691.50
  6. Step 6: Final answer
    x = 964,598.65

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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.