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Finding the Third Proportional to 98.25 and 221.63

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Solution

The third proportional to 98.25 and 221.63 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 221.63 = 221.63 : x
  2. Step 2: Convert to fraction form
    98.25/221.63 = 221.63/x
  3. Step 3: Cross multiply
    98.25x = 221.63 × 221.63
  4. Step 4: Simplify right side
    98.25x = 49,117.64
  5. Step 5: Solve for x
    x = 49,117.64/98.25
  6. Step 6: Final answer
    x = 499.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.