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Finding the Third Proportional to 115,611.50 and 252,232.50

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Solution

The third proportional to 115,611.50 and 252,232.50 is: 550,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,611.50 : 252,232.50 = 252,232.50 : x
  2. Step 2: Convert to fraction form
    115,611.50/252,232.50 = 252,232.50/x
  3. Step 3: Cross multiply
    115,611.50x = 252,232.50 × 252,232.50
  4. Step 4: Simplify right side
    115,611.50x = 63,621,234,056.25
  5. Step 5: Solve for x
    x = 63,621,234,056.25/115,611.50
  6. Step 6: Final answer
    x = 550,301.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.