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Finding the Third Proportional to 246,143 and 351,981

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Solution

The third proportional to 246,143 and 351,981 is: 503,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,143 : 351,981 = 351,981 : x
  2. Step 2: Convert to fraction form
    246,143/351,981 = 351,981/x
  3. Step 3: Cross multiply
    246,143x = 351,981 × 351,981
  4. Step 4: Simplify right side
    246,143x = 123,890,624,361
  5. Step 5: Solve for x
    x = 123,890,624,361/246,143
  6. Step 6: Final answer
    x = 503,327.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.