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Finding the Third Proportional to 160,940.25 and 353,400.75

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Solution

The third proportional to 160,940.25 and 353,400.75 is: 776,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,940.25 : 353,400.75 = 353,400.75 : x
  2. Step 2: Convert to fraction form
    160,940.25/353,400.75 = 353,400.75/x
  3. Step 3: Cross multiply
    160,940.25x = 353,400.75 × 353,400.75
  4. Step 4: Simplify right side
    160,940.25x = 124,892,090,100.56
  5. Step 5: Solve for x
    x = 124,892,090,100.56/160,940.25
  6. Step 6: Final answer
    x = 776,015.26

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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.