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Finding the Third Proportional to 166,135.50 and 354,019

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Solution

The third proportional to 166,135.50 and 354,019 is: 754,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,135.50 : 354,019 = 354,019 : x
  2. Step 2: Convert to fraction form
    166,135.50/354,019 = 354,019/x
  3. Step 3: Cross multiply
    166,135.50x = 354,019 × 354,019
  4. Step 4: Simplify right side
    166,135.50x = 125,329,452,361
  5. Step 5: Solve for x
    x = 125,329,452,361/166,135.50
  6. Step 6: Final answer
    x = 754,380.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.