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Finding the Third Proportional to 181,182 and 271,341

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Solution

The third proportional to 181,182 and 271,341 is: 406,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,182 : 271,341 = 271,341 : x
  2. Step 2: Convert to fraction form
    181,182/271,341 = 271,341/x
  3. Step 3: Cross multiply
    181,182x = 271,341 × 271,341
  4. Step 4: Simplify right side
    181,182x = 73,625,938,281
  5. Step 5: Solve for x
    x = 73,625,938,281/181,182
  6. Step 6: Final answer
    x = 406,364.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.