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Finding the Third Proportional to 166,862 and 355,873

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Solution

The third proportional to 166,862 and 355,873 is: 758,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,862 : 355,873 = 355,873 : x
  2. Step 2: Convert to fraction form
    166,862/355,873 = 355,873/x
  3. Step 3: Cross multiply
    166,862x = 355,873 × 355,873
  4. Step 4: Simplify right side
    166,862x = 126,645,592,129
  5. Step 5: Solve for x
    x = 126,645,592,129/166,862
  6. Step 6: Final answer
    x = 758,984.02

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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.