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Finding the Third Proportional to 203,501 and 442,034

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Solution

The third proportional to 203,501 and 442,034 is: 960,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,501 : 442,034 = 442,034 : x
  2. Step 2: Convert to fraction form
    203,501/442,034 = 442,034/x
  3. Step 3: Cross multiply
    203,501x = 442,034 × 442,034
  4. Step 4: Simplify right side
    203,501x = 195,394,057,156
  5. Step 5: Solve for x
    x = 195,394,057,156/203,501
  6. Step 6: Final answer
    x = 960,162.64

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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.