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Finding the Third Proportional to 849.19 and 1,243.31

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Solution

The third proportional to 849.19 and 1,243.31 is: 1,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.19 : 1,243.31 = 1,243.31 : x
  2. Step 2: Convert to fraction form
    849.19/1,243.31 = 1,243.31/x
  3. Step 3: Cross multiply
    849.19x = 1,243.31 × 1,243.31
  4. Step 4: Simplify right side
    849.19x = 1,545,825.97
  5. Step 5: Solve for x
    x = 1,545,825.97/849.19
  6. Step 6: Final answer
    x = 1,820.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.