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Finding the Third Proportional to 150,562.13 and 204,381.56

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Solution

The third proportional to 150,562.13 and 204,381.56 is: 277,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,562.13 : 204,381.56 = 204,381.56 : x
  2. Step 2: Convert to fraction form
    150,562.13/204,381.56 = 204,381.56/x
  3. Step 3: Cross multiply
    150,562.13x = 204,381.56 × 204,381.56
  4. Step 4: Simplify right side
    150,562.13x = 41,771,823,089.94
  5. Step 5: Solve for x
    x = 41,771,823,089.94/150,562.13
  6. Step 6: Final answer
    x = 277,439.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.