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Finding the Third Proportional to 175.15 and 252.07

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Solution

The third proportional to 175.15 and 252.07 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.15 : 252.07 = 252.07 : x
  2. Step 2: Convert to fraction form
    175.15/252.07 = 252.07/x
  3. Step 3: Cross multiply
    175.15x = 252.07 × 252.07
  4. Step 4: Simplify right side
    175.15x = 63,539.44
  5. Step 5: Solve for x
    x = 63,539.44/175.15
  6. Step 6: Final answer
    x = 362.77

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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.