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Finding the Third Proportional to 109,296 and 237,544

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Solution

The third proportional to 109,296 and 237,544 is: 516,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,296 : 237,544 = 237,544 : x
  2. Step 2: Convert to fraction form
    109,296/237,544 = 237,544/x
  3. Step 3: Cross multiply
    109,296x = 237,544 × 237,544
  4. Step 4: Simplify right side
    109,296x = 56,427,151,936
  5. Step 5: Solve for x
    x = 56,427,151,936/109,296
  6. Step 6: Final answer
    x = 516,278.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.