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Finding the Third Proportional to 832.31 and 1,185.75

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Solution

The third proportional to 832.31 and 1,185.75 is: 1,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.31 : 1,185.75 = 1,185.75 : x
  2. Step 2: Convert to fraction form
    832.31/1,185.75 = 1,185.75/x
  3. Step 3: Cross multiply
    832.31x = 1,185.75 × 1,185.75
  4. Step 4: Simplify right side
    832.31x = 1,406,003.06
  5. Step 5: Solve for x
    x = 1,406,003.06/832.31
  6. Step 6: Final answer
    x = 1,689.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.