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Finding the Third Proportional to 264.75 and 546.13

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Solution

The third proportional to 264.75 and 546.13 is: 1,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 546.13 = 546.13 : x
  2. Step 2: Convert to fraction form
    264.75/546.13 = 546.13/x
  3. Step 3: Cross multiply
    264.75x = 546.13 × 546.13
  4. Step 4: Simplify right side
    264.75x = 298,252.52
  5. Step 5: Solve for x
    x = 298,252.52/264.75
  6. Step 6: Final answer
    x = 1,126.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.