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Finding the Third Proportional to 202,102 and 441,398

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Solution

The third proportional to 202,102 and 441,398 is: 964,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,102 : 441,398 = 441,398 : x
  2. Step 2: Convert to fraction form
    202,102/441,398 = 441,398/x
  3. Step 3: Cross multiply
    202,102x = 441,398 × 441,398
  4. Step 4: Simplify right side
    202,102x = 194,832,194,404
  5. Step 5: Solve for x
    x = 194,832,194,404/202,102
  6. Step 6: Final answer
    x = 964,029.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.