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Finding the Third Proportional to 114,041 and 242,847

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Solution

The third proportional to 114,041 and 242,847 is: 517,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,041 : 242,847 = 242,847 : x
  2. Step 2: Convert to fraction form
    114,041/242,847 = 242,847/x
  3. Step 3: Cross multiply
    114,041x = 242,847 × 242,847
  4. Step 4: Simplify right side
    114,041x = 58,974,665,409
  5. Step 5: Solve for x
    x = 58,974,665,409/114,041
  6. Step 6: Final answer
    x = 517,135.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.