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Finding the Third Proportional to 74,413.50 and 160,491

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Solution

The third proportional to 74,413.50 and 160,491 is: 346,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,413.50 : 160,491 = 160,491 : x
  2. Step 2: Convert to fraction form
    74,413.50/160,491 = 160,491/x
  3. Step 3: Cross multiply
    74,413.50x = 160,491 × 160,491
  4. Step 4: Simplify right side
    74,413.50x = 25,757,361,081
  5. Step 5: Solve for x
    x = 25,757,361,081/74,413.50
  6. Step 6: Final answer
    x = 346,138.28

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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.