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Finding the Third Proportional to 187,420.50 and 299,760.75

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Solution

The third proportional to 187,420.50 and 299,760.75 is: 479,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,420.50 : 299,760.75 = 299,760.75 : x
  2. Step 2: Convert to fraction form
    187,420.50/299,760.75 = 299,760.75/x
  3. Step 3: Cross multiply
    187,420.50x = 299,760.75 × 299,760.75
  4. Step 4: Simplify right side
    187,420.50x = 89,856,507,240.56
  5. Step 5: Solve for x
    x = 89,856,507,240.56/187,420.50
  6. Step 6: Final answer
    x = 479,437.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.