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Finding the Third Proportional to 98.25 and 233.81

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Solution

The third proportional to 98.25 and 233.81 is: 556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 233.81 = 233.81 : x
  2. Step 2: Convert to fraction form
    98.25/233.81 = 233.81/x
  3. Step 3: Cross multiply
    98.25x = 233.81 × 233.81
  4. Step 4: Simplify right side
    98.25x = 54,668.29
  5. Step 5: Solve for x
    x = 54,668.29/98.25
  6. Step 6: Final answer
    x = 556.42

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.