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Finding the Third Proportional to 144.67 and 312.49

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Solution

The third proportional to 144.67 and 312.49 is: 674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.67 : 312.49 = 312.49 : x
  2. Step 2: Convert to fraction form
    144.67/312.49 = 312.49/x
  3. Step 3: Cross multiply
    144.67x = 312.49 × 312.49
  4. Step 4: Simplify right side
    144.67x = 97,647.36
  5. Step 5: Solve for x
    x = 97,647.36/144.67
  6. Step 6: Final answer
    x = 674.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.