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Finding the Third Proportional to 169,056 and 253,062

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Solution

The third proportional to 169,056 and 253,062 is: 378,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,056 : 253,062 = 253,062 : x
  2. Step 2: Convert to fraction form
    169,056/253,062 = 253,062/x
  3. Step 3: Cross multiply
    169,056x = 253,062 × 253,062
  4. Step 4: Simplify right side
    169,056x = 64,040,375,844
  5. Step 5: Solve for x
    x = 64,040,375,844/169,056
  6. Step 6: Final answer
    x = 378,811.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.