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Finding the Third Proportional to 173,856 and 366,703.50

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Solution

The third proportional to 173,856 and 366,703.50 is: 773,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,856 : 366,703.50 = 366,703.50 : x
  2. Step 2: Convert to fraction form
    173,856/366,703.50 = 366,703.50/x
  3. Step 3: Cross multiply
    173,856x = 366,703.50 × 366,703.50
  4. Step 4: Simplify right side
    173,856x = 134,471,456,912.25
  5. Step 5: Solve for x
    x = 134,471,456,912.25/173,856
  6. Step 6: Final answer
    x = 773,464.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.