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Finding the Third Proportional to 167,886 and 253,446

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Solution

The third proportional to 167,886 and 253,446 is: 382,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,886 : 253,446 = 253,446 : x
  2. Step 2: Convert to fraction form
    167,886/253,446 = 253,446/x
  3. Step 3: Cross multiply
    167,886x = 253,446 × 253,446
  4. Step 4: Simplify right side
    167,886x = 64,234,874,916
  5. Step 5: Solve for x
    x = 64,234,874,916/167,886
  6. Step 6: Final answer
    x = 382,610.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.