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Finding the Third Proportional to 177.75 and 258.50

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Solution

The third proportional to 177.75 and 258.50 is: 375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 258.50 = 258.50 : x
  2. Step 2: Convert to fraction form
    177.75/258.50 = 258.50/x
  3. Step 3: Cross multiply
    177.75x = 258.50 × 258.50
  4. Step 4: Simplify right side
    177.75x = 66,822.25
  5. Step 5: Solve for x
    x = 66,822.25/177.75
  6. Step 6: Final answer
    x = 375.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.