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Finding the Third Proportional to 164,404.69 and 246,629.81

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Solution

The third proportional to 164,404.69 and 246,629.81 is: 369,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,404.69 : 246,629.81 = 246,629.81 : x
  2. Step 2: Convert to fraction form
    164,404.69/246,629.81 = 246,629.81/x
  3. Step 3: Cross multiply
    164,404.69x = 246,629.81 × 246,629.81
  4. Step 4: Simplify right side
    164,404.69x = 60,826,264,413.79
  5. Step 5: Solve for x
    x = 60,826,264,413.79/164,404.69
  6. Step 6: Final answer
    x = 369,978.89

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Why These Related Problems?

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