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Finding the Third Proportional to 202,864 and 411,872

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Solution

The third proportional to 202,864 and 411,872 is: 836,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,864 : 411,872 = 411,872 : x
  2. Step 2: Convert to fraction form
    202,864/411,872 = 411,872/x
  3. Step 3: Cross multiply
    202,864x = 411,872 × 411,872
  4. Step 4: Simplify right side
    202,864x = 169,638,544,384
  5. Step 5: Solve for x
    x = 169,638,544,384/202,864
  6. Step 6: Final answer
    x = 836,218.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.