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Finding the Third Proportional to 157,668 and 230,634

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Solution

The third proportional to 157,668 and 230,634 is: 337,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,668 : 230,634 = 230,634 : x
  2. Step 2: Convert to fraction form
    157,668/230,634 = 230,634/x
  3. Step 3: Cross multiply
    157,668x = 230,634 × 230,634
  4. Step 4: Simplify right side
    157,668x = 53,192,041,956
  5. Step 5: Solve for x
    x = 53,192,041,956/157,668
  6. Step 6: Final answer
    x = 337,367.39

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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.