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Finding the Third Proportional to 203,251.13 and 301,929.75

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Solution

The third proportional to 203,251.13 and 301,929.75 is: 448,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,251.13 : 301,929.75 = 301,929.75 : x
  2. Step 2: Convert to fraction form
    203,251.13/301,929.75 = 301,929.75/x
  3. Step 3: Cross multiply
    203,251.13x = 301,929.75 × 301,929.75
  4. Step 4: Simplify right side
    203,251.13x = 91,161,573,935.06
  5. Step 5: Solve for x
    x = 91,161,573,935.06/203,251.13
  6. Step 6: Final answer
    x = 448,516.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.