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Finding the Third Proportional to 145.94 and 225.68

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Solution

The third proportional to 145.94 and 225.68 is: 348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 225.68 = 225.68 : x
  2. Step 2: Convert to fraction form
    145.94/225.68 = 225.68/x
  3. Step 3: Cross multiply
    145.94x = 225.68 × 225.68
  4. Step 4: Simplify right side
    145.94x = 50,930.00
  5. Step 5: Solve for x
    x = 50,930.00/145.94
  6. Step 6: Final answer
    x = 348.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.