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Finding the Third Proportional to 146,070.56 and 220,067.44

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Solution

The third proportional to 146,070.56 and 220,067.44 is: 331,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,070.56 : 220,067.44 = 220,067.44 : x
  2. Step 2: Convert to fraction form
    146,070.56/220,067.44 = 220,067.44/x
  3. Step 3: Cross multiply
    146,070.56x = 220,067.44 × 220,067.44
  4. Step 4: Simplify right side
    146,070.56x = 48,429,677,047.82
  5. Step 5: Solve for x
    x = 48,429,677,047.82/146,070.56
  6. Step 6: Final answer
    x = 331,549.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.