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Finding the Third Proportional to 335.50 and 451.13

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Solution

The third proportional to 335.50 and 451.13 is: 606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.50 : 451.13 = 451.13 : x
  2. Step 2: Convert to fraction form
    335.50/451.13 = 451.13/x
  3. Step 3: Cross multiply
    335.50x = 451.13 × 451.13
  4. Step 4: Simplify right side
    335.50x = 203,513.77
  5. Step 5: Solve for x
    x = 203,513.77/335.50
  6. Step 6: Final answer
    x = 606.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.