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Finding the Third Proportional to 190,833.50 and 259,170.75

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Solution

The third proportional to 190,833.50 and 259,170.75 is: 351,979.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,833.50 : 259,170.75 = 259,170.75 : x
  2. Step 2: Convert to fraction form
    190,833.50/259,170.75 = 259,170.75/x
  3. Step 3: Cross multiply
    190,833.50x = 259,170.75 × 259,170.75
  4. Step 4: Simplify right side
    190,833.50x = 67,169,477,655.56
  5. Step 5: Solve for x
    x = 67,169,477,655.56/190,833.50
  6. Step 6: Final answer
    x = 351,979.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.