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Finding the Third Proportional to 159,192 and 343,252

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Solution

The third proportional to 159,192 and 343,252 is: 740,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,192 : 343,252 = 343,252 : x
  2. Step 2: Convert to fraction form
    159,192/343,252 = 343,252/x
  3. Step 3: Cross multiply
    159,192x = 343,252 × 343,252
  4. Step 4: Simplify right side
    159,192x = 117,821,935,504
  5. Step 5: Solve for x
    x = 117,821,935,504/159,192
  6. Step 6: Final answer
    x = 740,124.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.