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Finding the Third Proportional to 160,976 and 353,824

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Solution

The third proportional to 160,976 and 353,824 is: 777,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,976 : 353,824 = 353,824 : x
  2. Step 2: Convert to fraction form
    160,976/353,824 = 353,824/x
  3. Step 3: Cross multiply
    160,976x = 353,824 × 353,824
  4. Step 4: Simplify right side
    160,976x = 125,191,422,976
  5. Step 5: Solve for x
    x = 125,191,422,976/160,976
  6. Step 6: Final answer
    x = 777,702.41

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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.