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Finding the Third Proportional to 204,087.75 and 306,910.13

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Solution

The third proportional to 204,087.75 and 306,910.13 is: 461,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,087.75 : 306,910.13 = 306,910.13 : x
  2. Step 2: Convert to fraction form
    204,087.75/306,910.13 = 306,910.13/x
  3. Step 3: Cross multiply
    204,087.75x = 306,910.13 × 306,910.13
  4. Step 4: Simplify right side
    204,087.75x = 94,193,824,827.52
  5. Step 5: Solve for x
    x = 94,193,824,827.52/204,087.75
  6. Step 6: Final answer
    x = 461,535.91

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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.