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Finding the Third Proportional to 140,202.28 and 211,975.73

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Solution

The third proportional to 140,202.28 and 211,975.73 is: 320,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,202.28 : 211,975.73 = 211,975.73 : x
  2. Step 2: Convert to fraction form
    140,202.28/211,975.73 = 211,975.73/x
  3. Step 3: Cross multiply
    140,202.28x = 211,975.73 × 211,975.73
  4. Step 4: Simplify right side
    140,202.28x = 44,933,711,963.82
  5. Step 5: Solve for x
    x = 44,933,711,963.82/140,202.28
  6. Step 6: Final answer
    x = 320,492.02

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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.