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Finding the Third Proportional to 117,097 and 246,431

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Solution

The third proportional to 117,097 and 246,431 is: 518,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,097 : 246,431 = 246,431 : x
  2. Step 2: Convert to fraction form
    117,097/246,431 = 246,431/x
  3. Step 3: Cross multiply
    117,097x = 246,431 × 246,431
  4. Step 4: Simplify right side
    117,097x = 60,728,237,761
  5. Step 5: Solve for x
    x = 60,728,237,761/117,097
  6. Step 6: Final answer
    x = 518,614.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.