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Finding the Third Proportional to 176.06 and 415.03

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Solution

The third proportional to 176.06 and 415.03 is: 978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 415.03 = 415.03 : x
  2. Step 2: Convert to fraction form
    176.06/415.03 = 415.03/x
  3. Step 3: Cross multiply
    176.06x = 415.03 × 415.03
  4. Step 4: Simplify right side
    176.06x = 172,250.94
  5. Step 5: Solve for x
    x = 172,250.94/176.06
  6. Step 6: Final answer
    x = 978.35

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Why These Related Problems?

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