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Finding the Third Proportional to 176,895.50 and 388,542.25

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Solution

The third proportional to 176,895.50 and 388,542.25 is: 853,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,895.50 : 388,542.25 = 388,542.25 : x
  2. Step 2: Convert to fraction form
    176,895.50/388,542.25 = 388,542.25/x
  3. Step 3: Cross multiply
    176,895.50x = 388,542.25 × 388,542.25
  4. Step 4: Simplify right side
    176,895.50x = 150,965,080,035.06
  5. Step 5: Solve for x
    x = 150,965,080,035.06/176,895.50
  6. Step 6: Final answer
    x = 853,413.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.