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Finding the Third Proportional to 114,024 and 242,812

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Solution

The third proportional to 114,024 and 242,812 is: 517,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024 : 242,812 = 242,812 : x
  2. Step 2: Convert to fraction form
    114,024/242,812 = 242,812/x
  3. Step 3: Cross multiply
    114,024x = 242,812 × 242,812
  4. Step 4: Simplify right side
    114,024x = 58,957,667,344
  5. Step 5: Solve for x
    x = 58,957,667,344/114,024
  6. Step 6: Final answer
    x = 517,063.67

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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.