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Finding the Third Proportional to 138.94 and 214.13

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Solution

The third proportional to 138.94 and 214.13 is: 330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 214.13 = 214.13 : x
  2. Step 2: Convert to fraction form
    138.94/214.13 = 214.13/x
  3. Step 3: Cross multiply
    138.94x = 214.13 × 214.13
  4. Step 4: Simplify right side
    138.94x = 45,849.52
  5. Step 5: Solve for x
    x = 45,849.52/138.94
  6. Step 6: Final answer
    x = 330.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.