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Finding the Third Proportional to 166,056 and 355,800

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Solution

The third proportional to 166,056 and 355,800 is: 762,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,056 : 355,800 = 355,800 : x
  2. Step 2: Convert to fraction form
    166,056/355,800 = 355,800/x
  3. Step 3: Cross multiply
    166,056x = 355,800 × 355,800
  4. Step 4: Simplify right side
    166,056x = 126,593,640,000
  5. Step 5: Solve for x
    x = 126,593,640,000/166,056
  6. Step 6: Final answer
    x = 762,355.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.