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Finding the Third Proportional to 114,516 and 232,266

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Solution

The third proportional to 114,516 and 232,266 is: 471,091.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,516 : 232,266 = 232,266 : x
  2. Step 2: Convert to fraction form
    114,516/232,266 = 232,266/x
  3. Step 3: Cross multiply
    114,516x = 232,266 × 232,266
  4. Step 4: Simplify right side
    114,516x = 53,947,494,756
  5. Step 5: Solve for x
    x = 53,947,494,756/114,516
  6. Step 6: Final answer
    x = 471,091.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.