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Finding the Third Proportional to 193,464 and 273,996

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Solution

The third proportional to 193,464 and 273,996 is: 388,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,464 : 273,996 = 273,996 : x
  2. Step 2: Convert to fraction form
    193,464/273,996 = 273,996/x
  3. Step 3: Cross multiply
    193,464x = 273,996 × 273,996
  4. Step 4: Simplify right side
    193,464x = 75,073,808,016
  5. Step 5: Solve for x
    x = 75,073,808,016/193,464
  6. Step 6: Final answer
    x = 388,050.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.