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Finding the Third Proportional to 98.63 and 175.88

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Solution

The third proportional to 98.63 and 175.88 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 175.88 = 175.88 : x
  2. Step 2: Convert to fraction form
    98.63/175.88 = 175.88/x
  3. Step 3: Cross multiply
    98.63x = 175.88 × 175.88
  4. Step 4: Simplify right side
    98.63x = 30,932.02
  5. Step 5: Solve for x
    x = 30,932.02/98.63
  6. Step 6: Final answer
    x = 313.63

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.