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Finding the Third Proportional to 173,115.75 and 270,608.25

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Solution

The third proportional to 173,115.75 and 270,608.25 is: 423,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,115.75 : 270,608.25 = 270,608.25 : x
  2. Step 2: Convert to fraction form
    173,115.75/270,608.25 = 270,608.25/x
  3. Step 3: Cross multiply
    173,115.75x = 270,608.25 × 270,608.25
  4. Step 4: Simplify right side
    173,115.75x = 73,228,824,968.06
  5. Step 5: Solve for x
    x = 73,228,824,968.06/173,115.75
  6. Step 6: Final answer
    x = 423,004.98

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