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Finding the Third Proportional to 131,267.25 and 287,961.75

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Solution

The third proportional to 131,267.25 and 287,961.75 is: 631,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,267.25 : 287,961.75 = 287,961.75 : x
  2. Step 2: Convert to fraction form
    131,267.25/287,961.75 = 287,961.75/x
  3. Step 3: Cross multiply
    131,267.25x = 287,961.75 × 287,961.75
  4. Step 4: Simplify right side
    131,267.25x = 82,921,969,463.06
  5. Step 5: Solve for x
    x = 82,921,969,463.06/131,267.25
  6. Step 6: Final answer
    x = 631,703.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.