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Finding the Third Proportional to 101 and 265.75

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Solution

The third proportional to 101 and 265.75 is: 699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101 : 265.75 = 265.75 : x
  2. Step 2: Convert to fraction form
    101/265.75 = 265.75/x
  3. Step 3: Cross multiply
    101x = 265.75 × 265.75
  4. Step 4: Simplify right side
    101x = 70,623.06
  5. Step 5: Solve for x
    x = 70,623.06/101
  6. Step 6: Final answer
    x = 699.24

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.