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Finding the Third Proportional to 173,601 and 270,551.25

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Solution

The third proportional to 173,601 and 270,551.25 is: 421,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,601 : 270,551.25 = 270,551.25 : x
  2. Step 2: Convert to fraction form
    173,601/270,551.25 = 270,551.25/x
  3. Step 3: Cross multiply
    173,601x = 270,551.25 × 270,551.25
  4. Step 4: Simplify right side
    173,601x = 73,197,978,876.56
  5. Step 5: Solve for x
    x = 73,197,978,876.56/173,601
  6. Step 6: Final answer
    x = 421,644.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.