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Finding the Third Proportional to 160,717.50 and 239,172.75

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Solution

The third proportional to 160,717.50 and 239,172.75 is: 355,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,717.50 : 239,172.75 = 239,172.75 : x
  2. Step 2: Convert to fraction form
    160,717.50/239,172.75 = 239,172.75/x
  3. Step 3: Cross multiply
    160,717.50x = 239,172.75 × 239,172.75
  4. Step 4: Simplify right side
    160,717.50x = 57,203,604,342.56
  5. Step 5: Solve for x
    x = 57,203,604,342.56/160,717.50
  6. Step 6: Final answer
    x = 355,926.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.