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Finding the Third Proportional to 267,946 and 369,110

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Solution

The third proportional to 267,946 and 369,110 is: 508,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,946 : 369,110 = 369,110 : x
  2. Step 2: Convert to fraction form
    267,946/369,110 = 369,110/x
  3. Step 3: Cross multiply
    267,946x = 369,110 × 369,110
  4. Step 4: Simplify right side
    267,946x = 136,242,192,100
  5. Step 5: Solve for x
    x = 136,242,192,100/267,946
  6. Step 6: Final answer
    x = 508,468.84

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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.