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Finding the Third Proportional to 265.46 and 534.73

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Solution

The third proportional to 265.46 and 534.73 is: 1,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.46 : 534.73 = 534.73 : x
  2. Step 2: Convert to fraction form
    265.46/534.73 = 534.73/x
  3. Step 3: Cross multiply
    265.46x = 534.73 × 534.73
  4. Step 4: Simplify right side
    265.46x = 285,932.50
  5. Step 5: Solve for x
    x = 285,932.50/265.46
  6. Step 6: Final answer
    x = 1,077.10

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.