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Finding the Third Proportional to 175.10 and 350.20

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Solution

The third proportional to 175.10 and 350.20 is: 700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.10 : 350.20 = 350.20 : x
  2. Step 2: Convert to fraction form
    175.10/350.20 = 350.20/x
  3. Step 3: Cross multiply
    175.10x = 350.20 × 350.20
  4. Step 4: Simplify right side
    175.10x = 122,642.23
  5. Step 5: Solve for x
    x = 122,642.23/175.10
  6. Step 6: Final answer
    x = 700.41

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.