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Finding the Third Proportional to 176,715 and 267,644.25

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Solution

The third proportional to 176,715 and 267,644.25 is: 405,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,715 : 267,644.25 = 267,644.25 : x
  2. Step 2: Convert to fraction form
    176,715/267,644.25 = 267,644.25/x
  3. Step 3: Cross multiply
    176,715x = 267,644.25 × 267,644.25
  4. Step 4: Simplify right side
    176,715x = 71,633,444,558.06
  5. Step 5: Solve for x
    x = 71,633,444,558.06/176,715
  6. Step 6: Final answer
    x = 405,361.43

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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.