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Finding the Third Proportional to 140,022 and 220,968

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Solution

The third proportional to 140,022 and 220,968 is: 348,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,022 : 220,968 = 220,968 : x
  2. Step 2: Convert to fraction form
    140,022/220,968 = 220,968/x
  3. Step 3: Cross multiply
    140,022x = 220,968 × 220,968
  4. Step 4: Simplify right side
    140,022x = 48,826,857,024
  5. Step 5: Solve for x
    x = 48,826,857,024/140,022
  6. Step 6: Final answer
    x = 348,708.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.