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Finding the Third Proportional to 179,129.25 and 377,698.50

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Solution

The third proportional to 179,129.25 and 377,698.50 is: 796,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,129.25 : 377,698.50 = 377,698.50 : x
  2. Step 2: Convert to fraction form
    179,129.25/377,698.50 = 377,698.50/x
  3. Step 3: Cross multiply
    179,129.25x = 377,698.50 × 377,698.50
  4. Step 4: Simplify right side
    179,129.25x = 142,656,156,902.25
  5. Step 5: Solve for x
    x = 142,656,156,902.25/179,129.25
  6. Step 6: Final answer
    x = 796,386.73

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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.