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Finding the Third Proportional to 335.60 and 735.12

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Solution

The third proportional to 335.60 and 735.12 is: 1,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.60 : 735.12 = 735.12 : x
  2. Step 2: Convert to fraction form
    335.60/735.12 = 735.12/x
  3. Step 3: Cross multiply
    335.60x = 735.12 × 735.12
  4. Step 4: Simplify right side
    335.60x = 540,397.28
  5. Step 5: Solve for x
    x = 540,397.28/335.60
  6. Step 6: Final answer
    x = 1,610.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.