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Finding the Third Proportional to 203,196 and 439,800

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Solution

The third proportional to 203,196 and 439,800 is: 951,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,196 : 439,800 = 439,800 : x
  2. Step 2: Convert to fraction form
    203,196/439,800 = 439,800/x
  3. Step 3: Cross multiply
    203,196x = 439,800 × 439,800
  4. Step 4: Simplify right side
    203,196x = 193,424,040,000
  5. Step 5: Solve for x
    x = 193,424,040,000/203,196
  6. Step 6: Final answer
    x = 951,908.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.