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Finding the Third Proportional to 181,102 and 393,344

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Solution

The third proportional to 181,102 and 393,344 is: 854,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,102 : 393,344 = 393,344 : x
  2. Step 2: Convert to fraction form
    181,102/393,344 = 393,344/x
  3. Step 3: Cross multiply
    181,102x = 393,344 × 393,344
  4. Step 4: Simplify right side
    181,102x = 154,719,502,336
  5. Step 5: Solve for x
    x = 154,719,502,336/181,102
  6. Step 6: Final answer
    x = 854,322.44

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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.