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Finding the Third Proportional to 204,859.13 and 239,000.63

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Solution

The third proportional to 204,859.13 and 239,000.63 is: 278,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,859.13 : 239,000.63 = 239,000.63 : x
  2. Step 2: Convert to fraction form
    204,859.13/239,000.63 = 239,000.63/x
  3. Step 3: Cross multiply
    204,859.13x = 239,000.63 × 239,000.63
  4. Step 4: Simplify right side
    204,859.13x = 57,121,298,750.39
  5. Step 5: Solve for x
    x = 57,121,298,750.39/204,859.13
  6. Step 6: Final answer
    x = 278,832.09

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.