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Finding the Third Proportional to 355.92 and 542.74

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Solution

The third proportional to 355.92 and 542.74 is: 827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.92 : 542.74 = 542.74 : x
  2. Step 2: Convert to fraction form
    355.92/542.74 = 542.74/x
  3. Step 3: Cross multiply
    355.92x = 542.74 × 542.74
  4. Step 4: Simplify right side
    355.92x = 294,569.08
  5. Step 5: Solve for x
    x = 294,569.08/355.92
  6. Step 6: Final answer
    x = 827.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.