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Finding the Third Proportional to 166,001 and 253,862

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Solution

The third proportional to 166,001 and 253,862 is: 388,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,001 : 253,862 = 253,862 : x
  2. Step 2: Convert to fraction form
    166,001/253,862 = 253,862/x
  3. Step 3: Cross multiply
    166,001x = 253,862 × 253,862
  4. Step 4: Simplify right side
    166,001x = 64,445,915,044
  5. Step 5: Solve for x
    x = 64,445,915,044/166,001
  6. Step 6: Final answer
    x = 388,226.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.