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Finding the Third Proportional to 115,081 and 246,154

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Solution

The third proportional to 115,081 and 246,154 is: 526,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,081 : 246,154 = 246,154 : x
  2. Step 2: Convert to fraction form
    115,081/246,154 = 246,154/x
  3. Step 3: Cross multiply
    115,081x = 246,154 × 246,154
  4. Step 4: Simplify right side
    115,081x = 60,591,791,716
  5. Step 5: Solve for x
    x = 60,591,791,716/115,081
  6. Step 6: Final answer
    x = 526,514.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.