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Finding the Third Proportional to 182,128.50 and 271,324.69

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Solution

The third proportional to 182,128.50 and 271,324.69 is: 404,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,128.50 : 271,324.69 = 271,324.69 : x
  2. Step 2: Convert to fraction form
    182,128.50/271,324.69 = 271,324.69/x
  3. Step 3: Cross multiply
    182,128.50x = 271,324.69 × 271,324.69
  4. Step 4: Simplify right side
    182,128.50x = 73,617,086,046.97
  5. Step 5: Solve for x
    x = 73,617,086,046.97/182,128.50
  6. Step 6: Final answer
    x = 404,204.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.