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Finding the Third Proportional to 118,188 and 262,377

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Solution

The third proportional to 118,188 and 262,377 is: 582,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,188 : 262,377 = 262,377 : x
  2. Step 2: Convert to fraction form
    118,188/262,377 = 262,377/x
  3. Step 3: Cross multiply
    118,188x = 262,377 × 262,377
  4. Step 4: Simplify right side
    118,188x = 68,841,690,129
  5. Step 5: Solve for x
    x = 68,841,690,129/118,188
  6. Step 6: Final answer
    x = 582,476.14

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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.