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Finding the Third Proportional to 147.23 and 338.34

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Solution

The third proportional to 147.23 and 338.34 is: 777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.23 : 338.34 = 338.34 : x
  2. Step 2: Convert to fraction form
    147.23/338.34 = 338.34/x
  3. Step 3: Cross multiply
    147.23x = 338.34 × 338.34
  4. Step 4: Simplify right side
    147.23x = 114,476.49
  5. Step 5: Solve for x
    x = 114,476.49/147.23
  6. Step 6: Final answer
    x = 777.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.