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Finding the Third Proportional to 350.16 and 542.27

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Solution

The third proportional to 350.16 and 542.27 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.16 : 542.27 = 542.27 : x
  2. Step 2: Convert to fraction form
    350.16/542.27 = 542.27/x
  3. Step 3: Cross multiply
    350.16x = 542.27 × 542.27
  4. Step 4: Simplify right side
    350.16x = 294,054.13
  5. Step 5: Solve for x
    x = 294,054.13/350.16
  6. Step 6: Final answer
    x = 839.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.