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Finding the Third Proportional to 149,060.25 and 223,711.88

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Solution

The third proportional to 149,060.25 and 223,711.88 is: 335,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,060.25 : 223,711.88 = 223,711.88 : x
  2. Step 2: Convert to fraction form
    149,060.25/223,711.88 = 223,711.88/x
  3. Step 3: Cross multiply
    149,060.25x = 223,711.88 × 223,711.88
  4. Step 4: Simplify right side
    149,060.25x = 50,047,003,016.02
  5. Step 5: Solve for x
    x = 50,047,003,016.02/149,060.25
  6. Step 6: Final answer
    x = 335,750.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.