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Finding the Third Proportional to 264.86 and 553.92

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Solution

The third proportional to 264.86 and 553.92 is: 1,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.86 : 553.92 = 553.92 : x
  2. Step 2: Convert to fraction form
    264.86/553.92 = 553.92/x
  3. Step 3: Cross multiply
    264.86x = 553.92 × 553.92
  4. Step 4: Simplify right side
    264.86x = 306,829.44
  5. Step 5: Solve for x
    x = 306,829.44/264.86
  6. Step 6: Final answer
    x = 1,158.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.