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Finding the Third Proportional to 267,964 and 369,126

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Solution

The third proportional to 267,964 and 369,126 is: 508,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,964 : 369,126 = 369,126 : x
  2. Step 2: Convert to fraction form
    267,964/369,126 = 369,126/x
  3. Step 3: Cross multiply
    267,964x = 369,126 × 369,126
  4. Step 4: Simplify right side
    267,964x = 136,254,003,876
  5. Step 5: Solve for x
    x = 136,254,003,876/267,964
  6. Step 6: Final answer
    x = 508,478.77

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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.