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Finding the Third Proportional to 171.88 and 376.25

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Solution

The third proportional to 171.88 and 376.25 is: 823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.88 : 376.25 = 376.25 : x
  2. Step 2: Convert to fraction form
    171.88/376.25 = 376.25/x
  3. Step 3: Cross multiply
    171.88x = 376.25 × 376.25
  4. Step 4: Simplify right side
    171.88x = 141,564.06
  5. Step 5: Solve for x
    x = 141,564.06/171.88
  6. Step 6: Final answer
    x = 823.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.