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Finding the Third Proportional to 175,184 and 397,136

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Solution

The third proportional to 175,184 and 397,136 is: 900,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,184 : 397,136 = 397,136 : x
  2. Step 2: Convert to fraction form
    175,184/397,136 = 397,136/x
  3. Step 3: Cross multiply
    175,184x = 397,136 × 397,136
  4. Step 4: Simplify right side
    175,184x = 157,717,002,496
  5. Step 5: Solve for x
    x = 157,717,002,496/175,184
  6. Step 6: Final answer
    x = 900,293.42

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.