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Finding the Third Proportional to 160,181 and 352,336

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Solution

The third proportional to 160,181 and 352,336 is: 775,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,181 : 352,336 = 352,336 : x
  2. Step 2: Convert to fraction form
    160,181/352,336 = 352,336/x
  3. Step 3: Cross multiply
    160,181x = 352,336 × 352,336
  4. Step 4: Simplify right side
    160,181x = 124,140,656,896
  5. Step 5: Solve for x
    x = 124,140,656,896/160,181
  6. Step 6: Final answer
    x = 775,002.38

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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.