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Finding the Third Proportional to 193,634 and 311,947

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Solution

The third proportional to 193,634 and 311,947 is: 502,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,634 : 311,947 = 311,947 : x
  2. Step 2: Convert to fraction form
    193,634/311,947 = 311,947/x
  3. Step 3: Cross multiply
    193,634x = 311,947 × 311,947
  4. Step 4: Simplify right side
    193,634x = 97,310,930,809
  5. Step 5: Solve for x
    x = 97,310,930,809/193,634
  6. Step 6: Final answer
    x = 502,550.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.