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Finding the Third Proportional to 138.09 and 291.38

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Solution

The third proportional to 138.09 and 291.38 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.09 : 291.38 = 291.38 : x
  2. Step 2: Convert to fraction form
    138.09/291.38 = 291.38/x
  3. Step 3: Cross multiply
    138.09x = 291.38 × 291.38
  4. Step 4: Simplify right side
    138.09x = 84,899.39
  5. Step 5: Solve for x
    x = 84,899.39/138.09
  6. Step 6: Final answer
    x = 614.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.