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Finding the Third Proportional to 144.28 and 307.41

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Solution

The third proportional to 144.28 and 307.41 is: 654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 307.41 = 307.41 : x
  2. Step 2: Convert to fraction form
    144.28/307.41 = 307.41/x
  3. Step 3: Cross multiply
    144.28x = 307.41 × 307.41
  4. Step 4: Simplify right side
    144.28x = 94,498.60
  5. Step 5: Solve for x
    x = 94,498.60/144.28
  6. Step 6: Final answer
    x = 654.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.