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Finding the Third Proportional to 129,782.25 and 287,745.75

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Solution

The third proportional to 129,782.25 and 287,745.75 is: 637,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,782.25 : 287,745.75 = 287,745.75 : x
  2. Step 2: Convert to fraction form
    129,782.25/287,745.75 = 287,745.75/x
  3. Step 3: Cross multiply
    129,782.25x = 287,745.75 × 287,745.75
  4. Step 4: Simplify right side
    129,782.25x = 82,797,616,643.06
  5. Step 5: Solve for x
    x = 82,797,616,643.06/129,782.25
  6. Step 6: Final answer
    x = 637,973.35

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.