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Finding the Third Proportional to 144.28 and 215.58

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Solution

The third proportional to 144.28 and 215.58 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 215.58 = 215.58 : x
  2. Step 2: Convert to fraction form
    144.28/215.58 = 215.58/x
  3. Step 3: Cross multiply
    144.28x = 215.58 × 215.58
  4. Step 4: Simplify right side
    144.28x = 46,473.93
  5. Step 5: Solve for x
    x = 46,473.93/144.28
  6. Step 6: Final answer
    x = 322.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.