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Finding the Third Proportional to 74,413.69 and 160,491.38

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Solution

The third proportional to 74,413.69 and 160,491.38 is: 346,139.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,413.69 : 160,491.38 = 160,491.38 : x
  2. Step 2: Convert to fraction form
    74,413.69/160,491.38 = 160,491.38/x
  3. Step 3: Cross multiply
    74,413.69x = 160,491.38 × 160,491.38
  4. Step 4: Simplify right side
    74,413.69x = 25,757,481,449.39
  5. Step 5: Solve for x
    x = 25,757,481,449.39/74,413.69
  6. Step 6: Final answer
    x = 346,139.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.