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Finding the Third Proportional to 349.31 and 542.95

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Solution

The third proportional to 349.31 and 542.95 is: 843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 542.95 = 542.95 : x
  2. Step 2: Convert to fraction form
    349.31/542.95 = 542.95/x
  3. Step 3: Cross multiply
    349.31x = 542.95 × 542.95
  4. Step 4: Simplify right side
    349.31x = 294,798.10
  5. Step 5: Solve for x
    x = 294,798.10/349.31
  6. Step 6: Final answer
    x = 843.94

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