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Finding the Third Proportional to 166,153 and 355,930

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Solution

The third proportional to 166,153 and 355,930 is: 762,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,153 : 355,930 = 355,930 : x
  2. Step 2: Convert to fraction form
    166,153/355,930 = 355,930/x
  3. Step 3: Cross multiply
    166,153x = 355,930 × 355,930
  4. Step 4: Simplify right side
    166,153x = 126,686,164,900
  5. Step 5: Solve for x
    x = 126,686,164,900/166,153
  6. Step 6: Final answer
    x = 762,466.91

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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.