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Finding the Third Proportional to 176.75 and 284

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Solution

The third proportional to 176.75 and 284 is: 456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 284 = 284 : x
  2. Step 2: Convert to fraction form
    176.75/284 = 284/x
  3. Step 3: Cross multiply
    176.75x = 284 × 284
  4. Step 4: Simplify right side
    176.75x = 80,656
  5. Step 5: Solve for x
    x = 80,656/176.75
  6. Step 6: Final answer
    x = 456.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.