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Finding the Third Proportional to 133,728.25 and 288,522.25

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Solution

The third proportional to 133,728.25 and 288,522.25 is: 622,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,728.25 : 288,522.25 = 288,522.25 : x
  2. Step 2: Convert to fraction form
    133,728.25/288,522.25 = 288,522.25/x
  3. Step 3: Cross multiply
    133,728.25x = 288,522.25 × 288,522.25
  4. Step 4: Simplify right side
    133,728.25x = 83,245,088,745.06
  5. Step 5: Solve for x
    x = 83,245,088,745.06/133,728.25
  6. Step 6: Final answer
    x = 622,494.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.