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Finding the Third Proportional to 181,182 and 299,449

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Solution

The third proportional to 181,182 and 299,449 is: 494,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,182 : 299,449 = 299,449 : x
  2. Step 2: Convert to fraction form
    181,182/299,449 = 299,449/x
  3. Step 3: Cross multiply
    181,182x = 299,449 × 299,449
  4. Step 4: Simplify right side
    181,182x = 89,669,703,601
  5. Step 5: Solve for x
    x = 89,669,703,601/181,182
  6. Step 6: Final answer
    x = 494,915.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.