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Finding the Third Proportional to 166,463 and 253,841

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Solution

The third proportional to 166,463 and 253,841 is: 387,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,463 : 253,841 = 253,841 : x
  2. Step 2: Convert to fraction form
    166,463/253,841 = 253,841/x
  3. Step 3: Cross multiply
    166,463x = 253,841 × 253,841
  4. Step 4: Simplify right side
    166,463x = 64,435,253,281
  5. Step 5: Solve for x
    x = 64,435,253,281/166,463
  6. Step 6: Final answer
    x = 387,084.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.