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Finding the Third Proportional to 200,793 and 418,233

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Solution

The third proportional to 200,793 and 418,233 is: 871,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793 : 418,233 = 418,233 : x
  2. Step 2: Convert to fraction form
    200,793/418,233 = 418,233/x
  3. Step 3: Cross multiply
    200,793x = 418,233 × 418,233
  4. Step 4: Simplify right side
    200,793x = 174,918,842,289
  5. Step 5: Solve for x
    x = 174,918,842,289/200,793
  6. Step 6: Final answer
    x = 871,140.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.