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Finding the Third Proportional to 114,116 and 246,274

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Solution

The third proportional to 114,116 and 246,274 is: 531,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116 : 246,274 = 246,274 : x
  2. Step 2: Convert to fraction form
    114,116/246,274 = 246,274/x
  3. Step 3: Cross multiply
    114,116x = 246,274 × 246,274
  4. Step 4: Simplify right side
    114,116x = 60,650,883,076
  5. Step 5: Solve for x
    x = 60,650,883,076/114,116
  6. Step 6: Final answer
    x = 531,484.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.