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Finding the Third Proportional to 145.88 and 213.94

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Solution

The third proportional to 145.88 and 213.94 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 213.94 = 213.94 : x
  2. Step 2: Convert to fraction form
    145.88/213.94 = 213.94/x
  3. Step 3: Cross multiply
    145.88x = 213.94 × 213.94
  4. Step 4: Simplify right side
    145.88x = 45,769.25
  5. Step 5: Solve for x
    x = 45,769.25/145.88
  6. Step 6: Final answer
    x = 313.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.