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Finding the Third Proportional to 203,508 and 442,047

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Solution

The third proportional to 203,508 and 442,047 is: 960,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,508 : 442,047 = 442,047 : x
  2. Step 2: Convert to fraction form
    203,508/442,047 = 442,047/x
  3. Step 3: Cross multiply
    203,508x = 442,047 × 442,047
  4. Step 4: Simplify right side
    203,508x = 195,405,550,209
  5. Step 5: Solve for x
    x = 195,405,550,209/203,508
  6. Step 6: Final answer
    x = 960,186.09

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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.