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Finding the Third Proportional to 368.30 and 539.16

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Solution

The third proportional to 368.30 and 539.16 is: 789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 539.16 = 539.16 : x
  2. Step 2: Convert to fraction form
    368.30/539.16 = 539.16/x
  3. Step 3: Cross multiply
    368.30x = 539.16 × 539.16
  4. Step 4: Simplify right side
    368.30x = 290,689.46
  5. Step 5: Solve for x
    x = 290,689.46/368.30
  6. Step 6: Final answer
    x = 789.28

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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.