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Finding the Third Proportional to 142,614 and 219,227

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Solution

The third proportional to 142,614 and 219,227 is: 336,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,614 : 219,227 = 219,227 : x
  2. Step 2: Convert to fraction form
    142,614/219,227 = 219,227/x
  3. Step 3: Cross multiply
    142,614x = 219,227 × 219,227
  4. Step 4: Simplify right side
    142,614x = 48,060,477,529
  5. Step 5: Solve for x
    x = 48,060,477,529/142,614
  6. Step 6: Final answer
    x = 336,996.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.