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Finding the Third Proportional to 145.94 and 311.97

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Solution

The third proportional to 145.94 and 311.97 is: 666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 311.97 = 311.97 : x
  2. Step 2: Convert to fraction form
    145.94/311.97 = 311.97/x
  3. Step 3: Cross multiply
    145.94x = 311.97 × 311.97
  4. Step 4: Simplify right side
    145.94x = 97,324.50
  5. Step 5: Solve for x
    x = 97,324.50/145.94
  6. Step 6: Final answer
    x = 666.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.