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Finding the Third Proportional to 200,796 and 418,239

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Solution

The third proportional to 200,796 and 418,239 is: 871,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,796 : 418,239 = 418,239 : x
  2. Step 2: Convert to fraction form
    200,796/418,239 = 418,239/x
  3. Step 3: Cross multiply
    200,796x = 418,239 × 418,239
  4. Step 4: Simplify right side
    200,796x = 174,923,861,121
  5. Step 5: Solve for x
    x = 174,923,861,121/200,796
  6. Step 6: Final answer
    x = 871,152.12

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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.