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Finding the Third Proportional to 175.62 and 252.98

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Solution

The third proportional to 175.62 and 252.98 is: 364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.62 : 252.98 = 252.98 : x
  2. Step 2: Convert to fraction form
    175.62/252.98 = 252.98/x
  3. Step 3: Cross multiply
    175.62x = 252.98 × 252.98
  4. Step 4: Simplify right side
    175.62x = 64,001.09
  5. Step 5: Solve for x
    x = 64,001.09/175.62
  6. Step 6: Final answer
    x = 364.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.