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Finding the Third Proportional to 181,181 and 299,448

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Solution

The third proportional to 181,181 and 299,448 is: 494,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,181 : 299,448 = 299,448 : x
  2. Step 2: Convert to fraction form
    181,181/299,448 = 299,448/x
  3. Step 3: Cross multiply
    181,181x = 299,448 × 299,448
  4. Step 4: Simplify right side
    181,181x = 89,669,104,704
  5. Step 5: Solve for x
    x = 89,669,104,704/181,181
  6. Step 6: Final answer
    x = 494,914.50

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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.