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Finding the Third Proportional to 140,467 and 220,114

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Solution

The third proportional to 140,467 and 220,114 is: 344,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,467 : 220,114 = 220,114 : x
  2. Step 2: Convert to fraction form
    140,467/220,114 = 220,114/x
  3. Step 3: Cross multiply
    140,467x = 220,114 × 220,114
  4. Step 4: Simplify right side
    140,467x = 48,450,172,996
  5. Step 5: Solve for x
    x = 48,450,172,996/140,467
  6. Step 6: Final answer
    x = 344,922.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.