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Finding the Third Proportional to 176 and 415

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Solution

The third proportional to 176 and 415 is: 978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176 : 415 = 415 : x
  2. Step 2: Convert to fraction form
    176/415 = 415/x
  3. Step 3: Cross multiply
    176x = 415 × 415
  4. Step 4: Simplify right side
    176x = 172,225
  5. Step 5: Solve for x
    x = 172,225/176
  6. Step 6: Final answer
    x = 978.55

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.