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Finding the Third Proportional to 246,375 and 343,262.50

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Solution

The third proportional to 246,375 and 343,262.50 is: 478,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,375 : 343,262.50 = 343,262.50 : x
  2. Step 2: Convert to fraction form
    246,375/343,262.50 = 343,262.50/x
  3. Step 3: Cross multiply
    246,375x = 343,262.50 × 343,262.50
  4. Step 4: Simplify right side
    246,375x = 117,829,143,906.25
  5. Step 5: Solve for x
    x = 117,829,143,906.25/246,375
  6. Step 6: Final answer
    x = 478,251.22

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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.