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Finding the Third Proportional to 120,767.25 and 262,290.75

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Solution

The third proportional to 120,767.25 and 262,290.75 is: 569,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,767.25 : 262,290.75 = 262,290.75 : x
  2. Step 2: Convert to fraction form
    120,767.25/262,290.75 = 262,290.75/x
  3. Step 3: Cross multiply
    120,767.25x = 262,290.75 × 262,290.75
  4. Step 4: Simplify right side
    120,767.25x = 68,796,437,535.56
  5. Step 5: Solve for x
    x = 68,796,437,535.56/120,767.25
  6. Step 6: Final answer
    x = 569,661.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.