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Finding the Third Proportional to 144.75 and 315.94

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Solution

The third proportional to 144.75 and 315.94 is: 689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.75 : 315.94 = 315.94 : x
  2. Step 2: Convert to fraction form
    144.75/315.94 = 315.94/x
  3. Step 3: Cross multiply
    144.75x = 315.94 × 315.94
  4. Step 4: Simplify right side
    144.75x = 99,816.50
  5. Step 5: Solve for x
    x = 99,816.50/144.75
  6. Step 6: Final answer
    x = 689.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.