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Finding the Third Proportional to 110,267 and 241,548

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Solution

The third proportional to 110,267 and 241,548 is: 529,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,267 : 241,548 = 241,548 : x
  2. Step 2: Convert to fraction form
    110,267/241,548 = 241,548/x
  3. Step 3: Cross multiply
    110,267x = 241,548 × 241,548
  4. Step 4: Simplify right side
    110,267x = 58,345,436,304
  5. Step 5: Solve for x
    x = 58,345,436,304/110,267
  6. Step 6: Final answer
    x = 529,128.72

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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.