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Finding the Third Proportional to 137,228 and 214,141

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Solution

The third proportional to 137,228 and 214,141 is: 334,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,228 : 214,141 = 214,141 : x
  2. Step 2: Convert to fraction form
    137,228/214,141 = 214,141/x
  3. Step 3: Cross multiply
    137,228x = 214,141 × 214,141
  4. Step 4: Simplify right side
    137,228x = 45,856,367,881
  5. Step 5: Solve for x
    x = 45,856,367,881/137,228
  6. Step 6: Final answer
    x = 334,161.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.