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Finding the Third Proportional to 155,193 and 241,080

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Solution

The third proportional to 155,193 and 241,080 is: 374,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,193 : 241,080 = 241,080 : x
  2. Step 2: Convert to fraction form
    155,193/241,080 = 241,080/x
  3. Step 3: Cross multiply
    155,193x = 241,080 × 241,080
  4. Step 4: Simplify right side
    155,193x = 58,119,566,400
  5. Step 5: Solve for x
    x = 58,119,566,400/155,193
  6. Step 6: Final answer
    x = 374,498.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.