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Finding the Third Proportional to 160,976 and 354,004

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Solution

The third proportional to 160,976 and 354,004 is: 778,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,976 : 354,004 = 354,004 : x
  2. Step 2: Convert to fraction form
    160,976/354,004 = 354,004/x
  3. Step 3: Cross multiply
    160,976x = 354,004 × 354,004
  4. Step 4: Simplify right side
    160,976x = 125,318,832,016
  5. Step 5: Solve for x
    x = 125,318,832,016/160,976
  6. Step 6: Final answer
    x = 778,493.89

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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.