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Finding the Third Proportional to 160,607.25 and 345,879

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Solution

The third proportional to 160,607.25 and 345,879 is: 744,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,607.25 : 345,879 = 345,879 : x
  2. Step 2: Convert to fraction form
    160,607.25/345,879 = 345,879/x
  3. Step 3: Cross multiply
    160,607.25x = 345,879 × 345,879
  4. Step 4: Simplify right side
    160,607.25x = 119,632,282,641
  5. Step 5: Solve for x
    x = 119,632,282,641/160,607.25
  6. Step 6: Final answer
    x = 744,874.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.