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Finding the Third Proportional to 168,349 and 369,908

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Solution

The third proportional to 168,349 and 369,908 is: 812,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,349 : 369,908 = 369,908 : x
  2. Step 2: Convert to fraction form
    168,349/369,908 = 369,908/x
  3. Step 3: Cross multiply
    168,349x = 369,908 × 369,908
  4. Step 4: Simplify right side
    168,349x = 136,831,928,464
  5. Step 5: Solve for x
    x = 136,831,928,464/168,349
  6. Step 6: Final answer
    x = 812,787.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.