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Finding the Third Proportional to 203,494 and 442,021

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Solution

The third proportional to 203,494 and 442,021 is: 960,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494 : 442,021 = 442,021 : x
  2. Step 2: Convert to fraction form
    203,494/442,021 = 442,021/x
  3. Step 3: Cross multiply
    203,494x = 442,021 × 442,021
  4. Step 4: Simplify right side
    203,494x = 195,382,564,441
  5. Step 5: Solve for x
    x = 195,382,564,441/203,494
  6. Step 6: Final answer
    x = 960,139.19

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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.