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Finding the Third Proportional to 204,774.19 and 320,529.94

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Solution

The third proportional to 204,774.19 and 320,529.94 is: 501,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,774.19 : 320,529.94 = 320,529.94 : x
  2. Step 2: Convert to fraction form
    204,774.19/320,529.94 = 320,529.94/x
  3. Step 3: Cross multiply
    204,774.19x = 320,529.94 × 320,529.94
  4. Step 4: Simplify right side
    204,774.19x = 102,739,440,833.75
  5. Step 5: Solve for x
    x = 102,739,440,833.75/204,774.19
  6. Step 6: Final answer
    x = 501,720.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.