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Finding the Third Proportional to 160,969 and 218,616

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Solution

The third proportional to 160,969 and 218,616 is: 296,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,969 : 218,616 = 218,616 : x
  2. Step 2: Convert to fraction form
    160,969/218,616 = 218,616/x
  3. Step 3: Cross multiply
    160,969x = 218,616 × 218,616
  4. Step 4: Simplify right side
    160,969x = 47,792,955,456
  5. Step 5: Solve for x
    x = 47,792,955,456/160,969
  6. Step 6: Final answer
    x = 296,907.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.