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Finding the Third Proportional to 169,384 and 253,244

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Solution

The third proportional to 169,384 and 253,244 is: 378,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,384 : 253,244 = 253,244 : x
  2. Step 2: Convert to fraction form
    169,384/253,244 = 253,244/x
  3. Step 3: Cross multiply
    169,384x = 253,244 × 253,244
  4. Step 4: Simplify right side
    169,384x = 64,132,523,536
  5. Step 5: Solve for x
    x = 64,132,523,536/169,384
  6. Step 6: Final answer
    x = 378,622.09

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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.