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Finding the Third Proportional to 173,676 and 259,784.25

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Solution

The third proportional to 173,676 and 259,784.25 is: 388,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,676 : 259,784.25 = 259,784.25 : x
  2. Step 2: Convert to fraction form
    173,676/259,784.25 = 259,784.25/x
  3. Step 3: Cross multiply
    173,676x = 259,784.25 × 259,784.25
  4. Step 4: Simplify right side
    173,676x = 67,487,856,548.06
  5. Step 5: Solve for x
    x = 67,487,856,548.06/173,676
  6. Step 6: Final answer
    x = 388,584.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.