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Finding the Third Proportional to 133,015.50 and 287,131.50

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Solution

The third proportional to 133,015.50 and 287,131.50 is: 619,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,015.50 : 287,131.50 = 287,131.50 : x
  2. Step 2: Convert to fraction form
    133,015.50/287,131.50 = 287,131.50/x
  3. Step 3: Cross multiply
    133,015.50x = 287,131.50 × 287,131.50
  4. Step 4: Simplify right side
    133,015.50x = 82,444,498,292.25
  5. Step 5: Solve for x
    x = 82,444,498,292.25/133,015.50
  6. Step 6: Final answer
    x = 619,811.21

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