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Finding the Third Proportional to 175.94 and 264.47

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Solution

The third proportional to 175.94 and 264.47 is: 397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 264.47 = 264.47 : x
  2. Step 2: Convert to fraction form
    175.94/264.47 = 264.47/x
  3. Step 3: Cross multiply
    175.94x = 264.47 × 264.47
  4. Step 4: Simplify right side
    175.94x = 69,943.72
  5. Step 5: Solve for x
    x = 69,943.72/175.94
  6. Step 6: Final answer
    x = 397.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.