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Finding the Third Proportional to 200,855.50 and 418,357

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Solution

The third proportional to 200,855.50 and 418,357 is: 871,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855.50 : 418,357 = 418,357 : x
  2. Step 2: Convert to fraction form
    200,855.50/418,357 = 418,357/x
  3. Step 3: Cross multiply
    200,855.50x = 418,357 × 418,357
  4. Step 4: Simplify right side
    200,855.50x = 175,022,579,449
  5. Step 5: Solve for x
    x = 175,022,579,449/200,855.50
  6. Step 6: Final answer
    x = 871,385.55

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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.