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Finding the Third Proportional to 368.81 and 769.13

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Solution

The third proportional to 368.81 and 769.13 is: 1,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.81 : 769.13 = 769.13 : x
  2. Step 2: Convert to fraction form
    368.81/769.13 = 769.13/x
  3. Step 3: Cross multiply
    368.81x = 769.13 × 769.13
  4. Step 4: Simplify right side
    368.81x = 591,553.27
  5. Step 5: Solve for x
    x = 591,553.27/368.81
  6. Step 6: Final answer
    x = 1,603.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.