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Finding the Third Proportional to 267,890.25 and 364,815.75

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Solution

The third proportional to 267,890.25 and 364,815.75 is: 496,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,890.25 : 364,815.75 = 364,815.75 : x
  2. Step 2: Convert to fraction form
    267,890.25/364,815.75 = 364,815.75/x
  3. Step 3: Cross multiply
    267,890.25x = 364,815.75 × 364,815.75
  4. Step 4: Simplify right side
    267,890.25x = 133,090,531,448.06
  5. Step 5: Solve for x
    x = 133,090,531,448.06/267,890.25
  6. Step 6: Final answer
    x = 496,809.91

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Why These Related Problems?

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