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Finding the Third Proportional to 169,168 and 371,824

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Solution

The third proportional to 169,168 and 371,824 is: 817,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,168 : 371,824 = 371,824 : x
  2. Step 2: Convert to fraction form
    169,168/371,824 = 371,824/x
  3. Step 3: Cross multiply
    169,168x = 371,824 × 371,824
  4. Step 4: Simplify right side
    169,168x = 138,253,086,976
  5. Step 5: Solve for x
    x = 138,253,086,976/169,168
  6. Step 6: Final answer
    x = 817,253.19

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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.