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Finding the Third Proportional to 144.38 and 317.55

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Solution

The third proportional to 144.38 and 317.55 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.38 : 317.55 = 317.55 : x
  2. Step 2: Convert to fraction form
    144.38/317.55 = 317.55/x
  3. Step 3: Cross multiply
    144.38x = 317.55 × 317.55
  4. Step 4: Simplify right side
    144.38x = 100,840.98
  5. Step 5: Solve for x
    x = 100,840.98/144.38
  6. Step 6: Final answer
    x = 698.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.