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Finding the Third Proportional to 169,002 and 367,434

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Solution

The third proportional to 169,002 and 367,434 is: 798,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,002 : 367,434 = 367,434 : x
  2. Step 2: Convert to fraction form
    169,002/367,434 = 367,434/x
  3. Step 3: Cross multiply
    169,002x = 367,434 × 367,434
  4. Step 4: Simplify right side
    169,002x = 135,007,744,356
  5. Step 5: Solve for x
    x = 135,007,744,356/169,002
  6. Step 6: Final answer
    x = 798,852.94

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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.