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Finding the Third Proportional to 267,966 and 369,129

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Solution

The third proportional to 267,966 and 369,129 is: 508,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,966 : 369,129 = 369,129 : x
  2. Step 2: Convert to fraction form
    267,966/369,129 = 369,129/x
  3. Step 3: Cross multiply
    267,966x = 369,129 × 369,129
  4. Step 4: Simplify right side
    267,966x = 136,256,218,641
  5. Step 5: Solve for x
    x = 136,256,218,641/267,966
  6. Step 6: Final answer
    x = 508,483.24

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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.