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Finding the Third Proportional to 158,213 and 231,366

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Solution

The third proportional to 158,213 and 231,366 is: 338,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,213 : 231,366 = 231,366 : x
  2. Step 2: Convert to fraction form
    158,213/231,366 = 231,366/x
  3. Step 3: Cross multiply
    158,213x = 231,366 × 231,366
  4. Step 4: Simplify right side
    158,213x = 53,530,225,956
  5. Step 5: Solve for x
    x = 53,530,225,956/158,213
  6. Step 6: Final answer
    x = 338,342.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.