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Finding the Third Proportional to 160,016 and 345,704

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Solution

The third proportional to 160,016 and 345,704 is: 746,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,016 : 345,704 = 345,704 : x
  2. Step 2: Convert to fraction form
    160,016/345,704 = 345,704/x
  3. Step 3: Cross multiply
    160,016x = 345,704 × 345,704
  4. Step 4: Simplify right side
    160,016x = 119,511,255,616
  5. Step 5: Solve for x
    x = 119,511,255,616/160,016
  6. Step 6: Final answer
    x = 746,870.66

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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.