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Finding the Third Proportional to 368.19 and 800.31

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Solution

The third proportional to 368.19 and 800.31 is: 1,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.19 : 800.31 = 800.31 : x
  2. Step 2: Convert to fraction form
    368.19/800.31 = 800.31/x
  3. Step 3: Cross multiply
    368.19x = 800.31 × 800.31
  4. Step 4: Simplify right side
    368.19x = 640,500.10
  5. Step 5: Solve for x
    x = 640,500.10/368.19
  6. Step 6: Final answer
    x = 1,739.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.