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Finding the Third Proportional to 267,891.50 and 405,281.25

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Solution

The third proportional to 267,891.50 and 405,281.25 is: 613,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,891.50 : 405,281.25 = 405,281.25 : x
  2. Step 2: Convert to fraction form
    267,891.50/405,281.25 = 405,281.25/x
  3. Step 3: Cross multiply
    267,891.50x = 405,281.25 × 405,281.25
  4. Step 4: Simplify right side
    267,891.50x = 164,252,891,601.56
  5. Step 5: Solve for x
    x = 164,252,891,601.56/267,891.50
  6. Step 6: Final answer
    x = 613,132.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.