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Finding the Third Proportional to 1,226.25 and 1,496.25

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Solution

The third proportional to 1,226.25 and 1,496.25 is: 1,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.25 : 1,496.25 = 1,496.25 : x
  2. Step 2: Convert to fraction form
    1,226.25/1,496.25 = 1,496.25/x
  3. Step 3: Cross multiply
    1,226.25x = 1,496.25 × 1,496.25
  4. Step 4: Simplify right side
    1,226.25x = 2,238,764.06
  5. Step 5: Solve for x
    x = 2,238,764.06/1,226.25
  6. Step 6: Final answer
    x = 1,825.70

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.