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Finding the Third Proportional to 166,099.50 and 257,683.50

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Solution

The third proportional to 166,099.50 and 257,683.50 is: 399,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,099.50 : 257,683.50 = 257,683.50 : x
  2. Step 2: Convert to fraction form
    166,099.50/257,683.50 = 257,683.50/x
  3. Step 3: Cross multiply
    166,099.50x = 257,683.50 × 257,683.50
  4. Step 4: Simplify right side
    166,099.50x = 66,400,786,172.25
  5. Step 5: Solve for x
    x = 66,400,786,172.25/166,099.50
  6. Step 6: Final answer
    x = 399,765.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.