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Finding the Third Proportional to 166,100 and 354,346

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Solution

The third proportional to 166,100 and 354,346 is: 755,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,100 : 354,346 = 354,346 : x
  2. Step 2: Convert to fraction form
    166,100/354,346 = 354,346/x
  3. Step 3: Cross multiply
    166,100x = 354,346 × 354,346
  4. Step 4: Simplify right side
    166,100x = 125,561,087,716
  5. Step 5: Solve for x
    x = 125,561,087,716/166,100
  6. Step 6: Final answer
    x = 755,936.71

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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.