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Finding the Third Proportional to 193,149 and 403,947

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Solution

The third proportional to 193,149 and 403,947 is: 844,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,149 : 403,947 = 403,947 : x
  2. Step 2: Convert to fraction form
    193,149/403,947 = 403,947/x
  3. Step 3: Cross multiply
    193,149x = 403,947 × 403,947
  4. Step 4: Simplify right side
    193,149x = 163,173,178,809
  5. Step 5: Solve for x
    x = 163,173,178,809/193,149
  6. Step 6: Final answer
    x = 844,804.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.