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Finding the Third Proportional to 166,983.75 and 342,148.50

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Solution

The third proportional to 166,983.75 and 342,148.50 is: 701,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,983.75 : 342,148.50 = 342,148.50 : x
  2. Step 2: Convert to fraction form
    166,983.75/342,148.50 = 342,148.50/x
  3. Step 3: Cross multiply
    166,983.75x = 342,148.50 × 342,148.50
  4. Step 4: Simplify right side
    166,983.75x = 117,065,596,052.25
  5. Step 5: Solve for x
    x = 117,065,596,052.25/166,983.75
  6. Step 6: Final answer
    x = 701,059.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.