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Finding the Third Proportional to 200,372.50 and 299,930.75

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Solution

The third proportional to 200,372.50 and 299,930.75 is: 448,956.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,372.50 : 299,930.75 = 299,930.75 : x
  2. Step 2: Convert to fraction form
    200,372.50/299,930.75 = 299,930.75/x
  3. Step 3: Cross multiply
    200,372.50x = 299,930.75 × 299,930.75
  4. Step 4: Simplify right side
    200,372.50x = 89,958,454,795.56
  5. Step 5: Solve for x
    x = 89,958,454,795.56/200,372.50
  6. Step 6: Final answer
    x = 448,956.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.