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Finding the Third Proportional to 835.17 and 1,114.17

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Solution

The third proportional to 835.17 and 1,114.17 is: 1,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,114.17 = 1,114.17 : x
  2. Step 2: Convert to fraction form
    835.17/1,114.17 = 1,114.17/x
  3. Step 3: Cross multiply
    835.17x = 1,114.17 × 1,114.17
  4. Step 4: Simplify right side
    835.17x = 1,241,378.97
  5. Step 5: Solve for x
    x = 1,241,378.97/835.17
  6. Step 6: Final answer
    x = 1,486.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.