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Finding the Third Proportional to 246,392 and 343,286

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Solution

The third proportional to 246,392 and 343,286 is: 478,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,392 : 343,286 = 343,286 : x
  2. Step 2: Convert to fraction form
    246,392/343,286 = 343,286/x
  3. Step 3: Cross multiply
    246,392x = 343,286 × 343,286
  4. Step 4: Simplify right side
    246,392x = 117,845,277,796
  5. Step 5: Solve for x
    x = 117,845,277,796/246,392
  6. Step 6: Final answer
    x = 478,283.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.