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Finding the Third Proportional to 114,037 and 264,274

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Solution

The third proportional to 114,037 and 264,274 is: 612,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,037 : 264,274 = 264,274 : x
  2. Step 2: Convert to fraction form
    114,037/264,274 = 264,274/x
  3. Step 3: Cross multiply
    114,037x = 264,274 × 264,274
  4. Step 4: Simplify right side
    114,037x = 69,840,747,076
  5. Step 5: Solve for x
    x = 69,840,747,076/114,037
  6. Step 6: Final answer
    x = 612,439.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.