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Finding the Third Proportional to 160,181.44 and 352,337.63

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Solution

The third proportional to 160,181.44 and 352,337.63 is: 775,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,181.44 : 352,337.63 = 352,337.63 : x
  2. Step 2: Convert to fraction form
    160,181.44/352,337.63 = 352,337.63/x
  3. Step 3: Cross multiply
    160,181.44x = 352,337.63 × 352,337.63
  4. Step 4: Simplify right side
    160,181.44x = 124,141,801,990.64
  5. Step 5: Solve for x
    x = 124,141,801,990.64/160,181.44
  6. Step 6: Final answer
    x = 775,007.42

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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.