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Finding the Third Proportional to 118,880 and 259,084

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Solution

The third proportional to 118,880 and 259,084 is: 564,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,880 : 259,084 = 259,084 : x
  2. Step 2: Convert to fraction form
    118,880/259,084 = 259,084/x
  3. Step 3: Cross multiply
    118,880x = 259,084 × 259,084
  4. Step 4: Simplify right side
    118,880x = 67,124,519,056
  5. Step 5: Solve for x
    x = 67,124,519,056/118,880
  6. Step 6: Final answer
    x = 564,640.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.