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Finding the Third Proportional to 158,614 and 217,497

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Solution

The third proportional to 158,614 and 217,497 is: 298,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,614 : 217,497 = 217,497 : x
  2. Step 2: Convert to fraction form
    158,614/217,497 = 217,497/x
  3. Step 3: Cross multiply
    158,614x = 217,497 × 217,497
  4. Step 4: Simplify right side
    158,614x = 47,304,945,009
  5. Step 5: Solve for x
    x = 47,304,945,009/158,614
  6. Step 6: Final answer
    x = 298,239.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.