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Finding the Third Proportional to 164,013 and 267,822

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Solution

The third proportional to 164,013 and 267,822 is: 437,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,013 : 267,822 = 267,822 : x
  2. Step 2: Convert to fraction form
    164,013/267,822 = 267,822/x
  3. Step 3: Cross multiply
    164,013x = 267,822 × 267,822
  4. Step 4: Simplify right side
    164,013x = 71,728,623,684
  5. Step 5: Solve for x
    x = 71,728,623,684/164,013
  6. Step 6: Final answer
    x = 437,334.99

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.