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Finding the Third Proportional to 193,772 and 263,008

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Solution

The third proportional to 193,772 and 263,008 is: 356,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,772 : 263,008 = 263,008 : x
  2. Step 2: Convert to fraction form
    193,772/263,008 = 263,008/x
  3. Step 3: Cross multiply
    193,772x = 263,008 × 263,008
  4. Step 4: Simplify right side
    193,772x = 69,173,208,064
  5. Step 5: Solve for x
    x = 69,173,208,064/193,772
  6. Step 6: Final answer
    x = 356,982.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.