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Finding the Third Proportional to 110,597 and 241,892

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Solution

The third proportional to 110,597 and 241,892 is: 529,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,597 : 241,892 = 241,892 : x
  2. Step 2: Convert to fraction form
    110,597/241,892 = 241,892/x
  3. Step 3: Cross multiply
    110,597x = 241,892 × 241,892
  4. Step 4: Simplify right side
    110,597x = 58,511,739,664
  5. Step 5: Solve for x
    x = 58,511,739,664/110,597
  6. Step 6: Final answer
    x = 529,053.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.