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Finding the Third Proportional to 278,067.94 and 377,735.91

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Solution

The third proportional to 278,067.94 and 377,735.91 is: 513,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,067.94 : 377,735.91 = 377,735.91 : x
  2. Step 2: Convert to fraction form
    278,067.94/377,735.91 = 377,735.91/x
  3. Step 3: Cross multiply
    278,067.94x = 377,735.91 × 377,735.91
  4. Step 4: Simplify right side
    278,067.94x = 142,684,414,870.51
  5. Step 5: Solve for x
    x = 142,684,414,870.51/278,067.94
  6. Step 6: Final answer
    x = 513,127.89

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.