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Finding the Third Proportional to 267,968 and 369,132

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Solution

The third proportional to 267,968 and 369,132 is: 508,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,968 : 369,132 = 369,132 : x
  2. Step 2: Convert to fraction form
    267,968/369,132 = 369,132/x
  3. Step 3: Cross multiply
    267,968x = 369,132 × 369,132
  4. Step 4: Simplify right side
    267,968x = 136,258,433,424
  5. Step 5: Solve for x
    x = 136,258,433,424/267,968
  6. Step 6: Final answer
    x = 508,487.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.