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Finding the Third Proportional to 131,964.75 and 287,745.75

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Solution

The third proportional to 131,964.75 and 287,745.75 is: 627,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,964.75 : 287,745.75 = 287,745.75 : x
  2. Step 2: Convert to fraction form
    131,964.75/287,745.75 = 287,745.75/x
  3. Step 3: Cross multiply
    131,964.75x = 287,745.75 × 287,745.75
  4. Step 4: Simplify right side
    131,964.75x = 82,797,616,643.06
  5. Step 5: Solve for x
    x = 82,797,616,643.06/131,964.75
  6. Step 6: Final answer
    x = 627,422.22

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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.