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Finding the Third Proportional to 181,240 and 393,624

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Solution

The third proportional to 181,240 and 393,624 is: 854,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,240 : 393,624 = 393,624 : x
  2. Step 2: Convert to fraction form
    181,240/393,624 = 393,624/x
  3. Step 3: Cross multiply
    181,240x = 393,624 × 393,624
  4. Step 4: Simplify right side
    181,240x = 154,939,853,376
  5. Step 5: Solve for x
    x = 154,939,853,376/181,240
  6. Step 6: Final answer
    x = 854,887.74

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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.