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Finding the Third Proportional to 203,085.05 and 316,272.82

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Solution

The third proportional to 203,085.05 and 316,272.82 is: 492,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,085.05 : 316,272.82 = 316,272.82 : x
  2. Step 2: Convert to fraction form
    203,085.05/316,272.82 = 316,272.82/x
  3. Step 3: Cross multiply
    203,085.05x = 316,272.82 × 316,272.82
  4. Step 4: Simplify right side
    203,085.05x = 100,028,494,638.85
  5. Step 5: Solve for x
    x = 100,028,494,638.85/203,085.05
  6. Step 6: Final answer
    x = 492,544.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.