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Finding the Third Proportional to 177.75 and 380.25

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Solution

The third proportional to 177.75 and 380.25 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 380.25 = 380.25 : x
  2. Step 2: Convert to fraction form
    177.75/380.25 = 380.25/x
  3. Step 3: Cross multiply
    177.75x = 380.25 × 380.25
  4. Step 4: Simplify right side
    177.75x = 144,590.06
  5. Step 5: Solve for x
    x = 144,590.06/177.75
  6. Step 6: Final answer
    x = 813.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.