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Finding the Third Proportional to 148.50 and 313.03

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Solution

The third proportional to 148.50 and 313.03 is: 659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 313.03 = 313.03 : x
  2. Step 2: Convert to fraction form
    148.50/313.03 = 313.03/x
  3. Step 3: Cross multiply
    148.50x = 313.03 × 313.03
  4. Step 4: Simplify right side
    148.50x = 97,988.56
  5. Step 5: Solve for x
    x = 97,988.56/148.50
  6. Step 6: Final answer
    x = 659.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.