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Finding the Third Proportional to 191,661 and 415,059

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Solution

The third proportional to 191,661 and 415,059 is: 898,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,661 : 415,059 = 415,059 : x
  2. Step 2: Convert to fraction form
    191,661/415,059 = 415,059/x
  3. Step 3: Cross multiply
    191,661x = 415,059 × 415,059
  4. Step 4: Simplify right side
    191,661x = 172,273,973,481
  5. Step 5: Solve for x
    x = 172,273,973,481/191,661
  6. Step 6: Final answer
    x = 898,847.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.