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Finding the Third Proportional to 335.75 and 516.13

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Solution

The third proportional to 335.75 and 516.13 is: 793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 516.13 = 516.13 : x
  2. Step 2: Convert to fraction form
    335.75/516.13 = 516.13/x
  3. Step 3: Cross multiply
    335.75x = 516.13 × 516.13
  4. Step 4: Simplify right side
    335.75x = 266,385.02
  5. Step 5: Solve for x
    x = 266,385.02/335.75
  6. Step 6: Final answer
    x = 793.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.