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Finding the Third Proportional to 169,743 and 369,921

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Solution

The third proportional to 169,743 and 369,921 is: 806,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,743 : 369,921 = 369,921 : x
  2. Step 2: Convert to fraction form
    169,743/369,921 = 369,921/x
  3. Step 3: Cross multiply
    169,743x = 369,921 × 369,921
  4. Step 4: Simplify right side
    169,743x = 136,841,546,241
  5. Step 5: Solve for x
    x = 136,841,546,241/169,743
  6. Step 6: Final answer
    x = 806,169.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.