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Finding the Third Proportional to 267,907.50 and 364,844.25

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Solution

The third proportional to 267,907.50 and 364,844.25 is: 496,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,907.50 : 364,844.25 = 364,844.25 : x
  2. Step 2: Convert to fraction form
    267,907.50/364,844.25 = 364,844.25/x
  3. Step 3: Cross multiply
    267,907.50x = 364,844.25 × 364,844.25
  4. Step 4: Simplify right side
    267,907.50x = 133,111,326,758.06
  5. Step 5: Solve for x
    x = 133,111,326,758.06/267,907.50
  6. Step 6: Final answer
    x = 496,855.54

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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.