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Finding the Third Proportional to 169,806 and 369,096

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Solution

The third proportional to 169,806 and 369,096 is: 802,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,806 : 369,096 = 369,096 : x
  2. Step 2: Convert to fraction form
    169,806/369,096 = 369,096/x
  3. Step 3: Cross multiply
    169,806x = 369,096 × 369,096
  4. Step 4: Simplify right side
    169,806x = 136,231,857,216
  5. Step 5: Solve for x
    x = 136,231,857,216/169,806
  6. Step 6: Final answer
    x = 802,279.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.