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Finding the Third Proportional to 115,084 and 246,158

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Solution

The third proportional to 115,084 and 246,158 is: 526,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,084 : 246,158 = 246,158 : x
  2. Step 2: Convert to fraction form
    115,084/246,158 = 246,158/x
  3. Step 3: Cross multiply
    115,084x = 246,158 × 246,158
  4. Step 4: Simplify right side
    115,084x = 60,593,760,964
  5. Step 5: Solve for x
    x = 60,593,760,964/115,084
  6. Step 6: Final answer
    x = 526,517.68

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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.