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Finding the Third Proportional to 110,597 and 241,893

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Solution

The third proportional to 110,597 and 241,893 is: 529,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,597 : 241,893 = 241,893 : x
  2. Step 2: Convert to fraction form
    110,597/241,893 = 241,893/x
  3. Step 3: Cross multiply
    110,597x = 241,893 × 241,893
  4. Step 4: Simplify right side
    110,597x = 58,512,223,449
  5. Step 5: Solve for x
    x = 58,512,223,449/110,597
  6. Step 6: Final answer
    x = 529,057.96

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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.