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Finding the Third Proportional to 267,563.25 and 356,693.63

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Solution

The third proportional to 267,563.25 and 356,693.63 is: 475,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,563.25 : 356,693.63 = 356,693.63 : x
  2. Step 2: Convert to fraction form
    267,563.25/356,693.63 = 356,693.63/x
  3. Step 3: Cross multiply
    267,563.25x = 356,693.63 × 356,693.63
  4. Step 4: Simplify right side
    267,563.25x = 127,230,342,115.64
  5. Step 5: Solve for x
    x = 127,230,342,115.64/267,563.25
  6. Step 6: Final answer
    x = 475,515.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.