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Finding the Third Proportional to 118,227 and 262,695

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Solution

The third proportional to 118,227 and 262,695 is: 583,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,227 : 262,695 = 262,695 : x
  2. Step 2: Convert to fraction form
    118,227/262,695 = 262,695/x
  3. Step 3: Cross multiply
    118,227x = 262,695 × 262,695
  4. Step 4: Simplify right side
    118,227x = 69,008,663,025
  5. Step 5: Solve for x
    x = 69,008,663,025/118,227
  6. Step 6: Final answer
    x = 583,696.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.