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Finding the Third Proportional to 368.13 and 532.31

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Solution

The third proportional to 368.13 and 532.31 is: 769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.13 : 532.31 = 532.31 : x
  2. Step 2: Convert to fraction form
    368.13/532.31 = 532.31/x
  3. Step 3: Cross multiply
    368.13x = 532.31 × 532.31
  4. Step 4: Simplify right side
    368.13x = 283,356.60
  5. Step 5: Solve for x
    x = 283,356.60/368.13
  6. Step 6: Final answer
    x = 769.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.