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Finding the Third Proportional to 77,874 and 169,419

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Solution

The third proportional to 77,874 and 169,419 is: 368,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874 : 169,419 = 169,419 : x
  2. Step 2: Convert to fraction form
    77,874/169,419 = 169,419/x
  3. Step 3: Cross multiply
    77,874x = 169,419 × 169,419
  4. Step 4: Simplify right side
    77,874x = 28,702,797,561
  5. Step 5: Solve for x
    x = 28,702,797,561/77,874
  6. Step 6: Final answer
    x = 368,579.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.