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Finding the Third Proportional to 199,184 and 431,856

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Solution

The third proportional to 199,184 and 431,856 is: 936,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,184 : 431,856 = 431,856 : x
  2. Step 2: Convert to fraction form
    199,184/431,856 = 431,856/x
  3. Step 3: Cross multiply
    199,184x = 431,856 × 431,856
  4. Step 4: Simplify right side
    199,184x = 186,499,604,736
  5. Step 5: Solve for x
    x = 186,499,604,736/199,184
  6. Step 6: Final answer
    x = 936,318.20

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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.