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Finding the Third Proportional to 193.31 and 400.06

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Solution

The third proportional to 193.31 and 400.06 is: 827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.31 : 400.06 = 400.06 : x
  2. Step 2: Convert to fraction form
    193.31/400.06 = 400.06/x
  3. Step 3: Cross multiply
    193.31x = 400.06 × 400.06
  4. Step 4: Simplify right side
    193.31x = 160,050.00
  5. Step 5: Solve for x
    x = 160,050.00/193.31
  6. Step 6: Final answer
    x = 827.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.