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Finding the Third Proportional to 145.38 and 218.13

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Solution

The third proportional to 145.38 and 218.13 is: 327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 218.13 = 218.13 : x
  2. Step 2: Convert to fraction form
    145.38/218.13 = 218.13/x
  3. Step 3: Cross multiply
    145.38x = 218.13 × 218.13
  4. Step 4: Simplify right side
    145.38x = 47,578.52
  5. Step 5: Solve for x
    x = 47,578.52/145.38
  6. Step 6: Final answer
    x = 327.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.