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Finding the Third Proportional to 167.22 and 346.10

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Solution

The third proportional to 167.22 and 346.10 is: 716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 346.10 = 346.10 : x
  2. Step 2: Convert to fraction form
    167.22/346.10 = 346.10/x
  3. Step 3: Cross multiply
    167.22x = 346.10 × 346.10
  4. Step 4: Simplify right side
    167.22x = 119,782.24
  5. Step 5: Solve for x
    x = 119,782.24/167.22
  6. Step 6: Final answer
    x = 716.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.