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Finding the Third Proportional to 177.75 and 401.06

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Solution

The third proportional to 177.75 and 401.06 is: 904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 401.06 = 401.06 : x
  2. Step 2: Convert to fraction form
    177.75/401.06 = 401.06/x
  3. Step 3: Cross multiply
    177.75x = 401.06 × 401.06
  4. Step 4: Simplify right side
    177.75x = 160,851.13
  5. Step 5: Solve for x
    x = 160,851.13/177.75
  6. Step 6: Final answer
    x = 904.93

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.