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Finding the Third Proportional to 835.31 and 1,193.44

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Solution

The third proportional to 835.31 and 1,193.44 is: 1,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.31 : 1,193.44 = 1,193.44 : x
  2. Step 2: Convert to fraction form
    835.31/1,193.44 = 1,193.44/x
  3. Step 3: Cross multiply
    835.31x = 1,193.44 × 1,193.44
  4. Step 4: Simplify right side
    835.31x = 1,424,293.07
  5. Step 5: Solve for x
    x = 1,424,293.07/835.31
  6. Step 6: Final answer
    x = 1,705.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.