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Finding the Third Proportional to 835.22 and 1,301.16

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Solution

The third proportional to 835.22 and 1,301.16 is: 2,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.22 : 1,301.16 = 1,301.16 : x
  2. Step 2: Convert to fraction form
    835.22/1,301.16 = 1,301.16/x
  3. Step 3: Cross multiply
    835.22x = 1,301.16 × 1,301.16
  4. Step 4: Simplify right side
    835.22x = 1,693,007.59
  5. Step 5: Solve for x
    x = 1,693,007.59/835.22
  6. Step 6: Final answer
    x = 2,027.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.