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Finding the Third Proportional to 200,975.25 and 418,488.75

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Solution

The third proportional to 200,975.25 and 418,488.75 is: 871,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,975.25 : 418,488.75 = 418,488.75 : x
  2. Step 2: Convert to fraction form
    200,975.25/418,488.75 = 418,488.75/x
  3. Step 3: Cross multiply
    200,975.25x = 418,488.75 × 418,488.75
  4. Step 4: Simplify right side
    200,975.25x = 175,132,833,876.56
  5. Step 5: Solve for x
    x = 175,132,833,876.56/200,975.25
  6. Step 6: Final answer
    x = 871,414.93

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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.