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Finding the Third Proportional to 199,154 and 315,503

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Solution

The third proportional to 199,154 and 315,503 is: 499,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,154 : 315,503 = 315,503 : x
  2. Step 2: Convert to fraction form
    199,154/315,503 = 315,503/x
  3. Step 3: Cross multiply
    199,154x = 315,503 × 315,503
  4. Step 4: Simplify right side
    199,154x = 99,542,143,009
  5. Step 5: Solve for x
    x = 99,542,143,009/199,154
  6. Step 6: Final answer
    x = 499,824.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.