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Finding the Third Proportional to 173,844 and 366,678.75

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Solution

The third proportional to 173,844 and 366,678.75 is: 773,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,844 : 366,678.75 = 366,678.75 : x
  2. Step 2: Convert to fraction form
    173,844/366,678.75 = 366,678.75/x
  3. Step 3: Cross multiply
    173,844x = 366,678.75 × 366,678.75
  4. Step 4: Simplify right side
    173,844x = 134,453,305,701.56
  5. Step 5: Solve for x
    x = 134,453,305,701.56/173,844
  6. Step 6: Final answer
    x = 773,413.55

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Why These Related Problems?

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