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Finding the Third Proportional to 181,240 and 426,463

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Solution

The third proportional to 181,240 and 426,463 is: 1,003,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,240 : 426,463 = 426,463 : x
  2. Step 2: Convert to fraction form
    181,240/426,463 = 426,463/x
  3. Step 3: Cross multiply
    181,240x = 426,463 × 426,463
  4. Step 4: Simplify right side
    181,240x = 181,870,690,369
  5. Step 5: Solve for x
    x = 181,870,690,369/181,240
  6. Step 6: Final answer
    x = 1,003,479.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.