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Finding the Third Proportional to 261,383 and 368,094

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Solution

The third proportional to 261,383 and 368,094 is: 518,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,383 : 368,094 = 368,094 : x
  2. Step 2: Convert to fraction form
    261,383/368,094 = 368,094/x
  3. Step 3: Cross multiply
    261,383x = 368,094 × 368,094
  4. Step 4: Simplify right side
    261,383x = 135,493,192,836
  5. Step 5: Solve for x
    x = 135,493,192,836/261,383
  6. Step 6: Final answer
    x = 518,370.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.