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Finding the Third Proportional to 169,356 and 372,136

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Solution

The third proportional to 169,356 and 372,136 is: 817,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,356 : 372,136 = 372,136 : x
  2. Step 2: Convert to fraction form
    169,356/372,136 = 372,136/x
  3. Step 3: Cross multiply
    169,356x = 372,136 × 372,136
  4. Step 4: Simplify right side
    169,356x = 138,485,202,496
  5. Step 5: Solve for x
    x = 138,485,202,496/169,356
  6. Step 6: Final answer
    x = 817,716.54

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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.