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Finding the Third Proportional to 246,568 and 315,069

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Solution

The third proportional to 246,568 and 315,069 is: 402,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,568 : 315,069 = 315,069 : x
  2. Step 2: Convert to fraction form
    246,568/315,069 = 315,069/x
  3. Step 3: Cross multiply
    246,568x = 315,069 × 315,069
  4. Step 4: Simplify right side
    246,568x = 99,268,474,761
  5. Step 5: Solve for x
    x = 99,268,474,761/246,568
  6. Step 6: Final answer
    x = 402,600.80

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.