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Finding the Third Proportional to 193,443 and 273,964.50

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Solution

The third proportional to 193,443 and 273,964.50 is: 388,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,443 : 273,964.50 = 273,964.50 : x
  2. Step 2: Convert to fraction form
    193,443/273,964.50 = 273,964.50/x
  3. Step 3: Cross multiply
    193,443x = 273,964.50 × 273,964.50
  4. Step 4: Simplify right side
    193,443x = 75,056,547,260.25
  5. Step 5: Solve for x
    x = 75,056,547,260.25/193,443
  6. Step 6: Final answer
    x = 388,003.43

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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.