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Finding the Third Proportional to 203,913 and 448,165

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Solution

The third proportional to 203,913 and 448,165 is: 984,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,913 : 448,165 = 448,165 : x
  2. Step 2: Convert to fraction form
    203,913/448,165 = 448,165/x
  3. Step 3: Cross multiply
    203,913x = 448,165 × 448,165
  4. Step 4: Simplify right side
    203,913x = 200,851,867,225
  5. Step 5: Solve for x
    x = 200,851,867,225/203,913
  6. Step 6: Final answer
    x = 984,988.05

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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.