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Finding the Third Proportional to 151,787.25 and 226,451.63

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Solution

The third proportional to 151,787.25 and 226,451.63 is: 337,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,787.25 : 226,451.63 = 226,451.63 : x
  2. Step 2: Convert to fraction form
    151,787.25/226,451.63 = 226,451.63/x
  3. Step 3: Cross multiply
    151,787.25x = 226,451.63 × 226,451.63
  4. Step 4: Simplify right side
    151,787.25x = 51,280,338,465.14
  5. Step 5: Solve for x
    x = 51,280,338,465.14/151,787.25
  6. Step 6: Final answer
    x = 337,843.52

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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.