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Finding the Third Proportional to 137,244 and 219,171

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Solution

The third proportional to 137,244 and 219,171 is: 350,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,244 : 219,171 = 219,171 : x
  2. Step 2: Convert to fraction form
    137,244/219,171 = 219,171/x
  3. Step 3: Cross multiply
    137,244x = 219,171 × 219,171
  4. Step 4: Simplify right side
    137,244x = 48,035,927,241
  5. Step 5: Solve for x
    x = 48,035,927,241/137,244
  6. Step 6: Final answer
    x = 350,003.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.