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Finding the Third Proportional to 190,435.50 and 279,760.50

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Solution

The third proportional to 190,435.50 and 279,760.50 is: 410,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,435.50 : 279,760.50 = 279,760.50 : x
  2. Step 2: Convert to fraction form
    190,435.50/279,760.50 = 279,760.50/x
  3. Step 3: Cross multiply
    190,435.50x = 279,760.50 × 279,760.50
  4. Step 4: Simplify right side
    190,435.50x = 78,265,937,360.25
  5. Step 5: Solve for x
    x = 78,265,937,360.25/190,435.50
  6. Step 6: Final answer
    x = 410,983.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.