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Finding the Third Proportional to 173,904.75 and 366,493.50

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Solution

The third proportional to 173,904.75 and 366,493.50 is: 772,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,904.75 : 366,493.50 = 366,493.50 : x
  2. Step 2: Convert to fraction form
    173,904.75/366,493.50 = 366,493.50/x
  3. Step 3: Cross multiply
    173,904.75x = 366,493.50 × 366,493.50
  4. Step 4: Simplify right side
    173,904.75x = 134,317,485,542.25
  5. Step 5: Solve for x
    x = 134,317,485,542.25/173,904.75
  6. Step 6: Final answer
    x = 772,362.37

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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.