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Finding the Third Proportional to 175.78 and 414.28

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Solution

The third proportional to 175.78 and 414.28 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.78 : 414.28 = 414.28 : x
  2. Step 2: Convert to fraction form
    175.78/414.28 = 414.28/x
  3. Step 3: Cross multiply
    175.78x = 414.28 × 414.28
  4. Step 4: Simplify right side
    175.78x = 171,628.95
  5. Step 5: Solve for x
    x = 171,628.95/175.78
  6. Step 6: Final answer
    x = 976.38

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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.