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Finding the Third Proportional to 261,494 and 368,241

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Solution

The third proportional to 261,494 and 368,241 is: 518,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,494 : 368,241 = 368,241 : x
  2. Step 2: Convert to fraction form
    261,494/368,241 = 368,241/x
  3. Step 3: Cross multiply
    261,494x = 368,241 × 368,241
  4. Step 4: Simplify right side
    261,494x = 135,601,434,081
  5. Step 5: Solve for x
    x = 135,601,434,081/261,494
  6. Step 6: Final answer
    x = 518,564.23

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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.