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Finding the Third Proportional to 166,333.50 and 254,489

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Solution

The third proportional to 166,333.50 and 254,489 is: 389,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,333.50 : 254,489 = 254,489 : x
  2. Step 2: Convert to fraction form
    166,333.50/254,489 = 254,489/x
  3. Step 3: Cross multiply
    166,333.50x = 254,489 × 254,489
  4. Step 4: Simplify right side
    166,333.50x = 64,764,651,121
  5. Step 5: Solve for x
    x = 64,764,651,121/166,333.50
  6. Step 6: Final answer
    x = 389,366.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.