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Finding the Third Proportional to 158,186 and 340,564

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Solution

The third proportional to 158,186 and 340,564 is: 733,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,186 : 340,564 = 340,564 : x
  2. Step 2: Convert to fraction form
    158,186/340,564 = 340,564/x
  3. Step 3: Cross multiply
    158,186x = 340,564 × 340,564
  4. Step 4: Simplify right side
    158,186x = 115,983,838,096
  5. Step 5: Solve for x
    x = 115,983,838,096/158,186
  6. Step 6: Final answer
    x = 733,211.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.