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Finding the Third Proportional to 121 and 264.25

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Solution

The third proportional to 121 and 264.25 is: 577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121 : 264.25 = 264.25 : x
  2. Step 2: Convert to fraction form
    121/264.25 = 264.25/x
  3. Step 3: Cross multiply
    121x = 264.25 × 264.25
  4. Step 4: Simplify right side
    121x = 69,828.06
  5. Step 5: Solve for x
    x = 69,828.06/121
  6. Step 6: Final answer
    x = 577.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.