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Finding the Third Proportional to 150.75 and 177.66

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Solution

The third proportional to 150.75 and 177.66 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 177.66 = 177.66 : x
  2. Step 2: Convert to fraction form
    150.75/177.66 = 177.66/x
  3. Step 3: Cross multiply
    150.75x = 177.66 × 177.66
  4. Step 4: Simplify right side
    150.75x = 31,561.74
  5. Step 5: Solve for x
    x = 31,561.74/150.75
  6. Step 6: Final answer
    x = 209.36

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.