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Finding the Third Proportional to 175.69 and 237.88

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Solution

The third proportional to 175.69 and 237.88 is: 322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.69 : 237.88 = 237.88 : x
  2. Step 2: Convert to fraction form
    175.69/237.88 = 237.88/x
  3. Step 3: Cross multiply
    175.69x = 237.88 × 237.88
  4. Step 4: Simplify right side
    175.69x = 56,584.52
  5. Step 5: Solve for x
    x = 56,584.52/175.69
  6. Step 6: Final answer
    x = 322.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.