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Finding the Third Proportional to 146.25 and 296.63

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Solution

The third proportional to 146.25 and 296.63 is: 601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 296.63 = 296.63 : x
  2. Step 2: Convert to fraction form
    146.25/296.63 = 296.63/x
  3. Step 3: Cross multiply
    146.25x = 296.63 × 296.63
  4. Step 4: Simplify right side
    146.25x = 87,986.39
  5. Step 5: Solve for x
    x = 87,986.39/146.25
  6. Step 6: Final answer
    x = 601.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.