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Finding the Third Proportional to 118,218 and 262,676

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Solution

The third proportional to 118,218 and 262,676 is: 583,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,218 : 262,676 = 262,676 : x
  2. Step 2: Convert to fraction form
    118,218/262,676 = 262,676/x
  3. Step 3: Cross multiply
    118,218x = 262,676 × 262,676
  4. Step 4: Simplify right side
    118,218x = 68,998,680,976
  5. Step 5: Solve for x
    x = 68,998,680,976/118,218
  6. Step 6: Final answer
    x = 583,656.30

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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.