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Finding the Third Proportional to 203,915 and 448,169

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Solution

The third proportional to 203,915 and 448,169 is: 984,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,915 : 448,169 = 448,169 : x
  2. Step 2: Convert to fraction form
    203,915/448,169 = 448,169/x
  3. Step 3: Cross multiply
    203,915x = 448,169 × 448,169
  4. Step 4: Simplify right side
    203,915x = 200,855,452,561
  5. Step 5: Solve for x
    x = 200,855,452,561/203,915
  6. Step 6: Final answer
    x = 984,995.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.