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Finding the Third Proportional to 146.63 and 313.22

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Solution

The third proportional to 146.63 and 313.22 is: 669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.63 : 313.22 = 313.22 : x
  2. Step 2: Convert to fraction form
    146.63/313.22 = 313.22/x
  3. Step 3: Cross multiply
    146.63x = 313.22 × 313.22
  4. Step 4: Simplify right side
    146.63x = 98,105.99
  5. Step 5: Solve for x
    x = 98,105.99/146.63
  6. Step 6: Final answer
    x = 669.09

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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.