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Finding the Third Proportional to 138.16 and 338.45

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Solution

The third proportional to 138.16 and 338.45 is: 829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 338.45 = 338.45 : x
  2. Step 2: Convert to fraction form
    138.16/338.45 = 338.45/x
  3. Step 3: Cross multiply
    138.16x = 338.45 × 338.45
  4. Step 4: Simplify right side
    138.16x = 114,547.87
  5. Step 5: Solve for x
    x = 114,547.87/138.16
  6. Step 6: Final answer
    x = 829.07

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.