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Finding the Third Proportional to 74,446 and 154,908

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Solution

The third proportional to 74,446 and 154,908 is: 322,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,446 : 154,908 = 154,908 : x
  2. Step 2: Convert to fraction form
    74,446/154,908 = 154,908/x
  3. Step 3: Cross multiply
    74,446x = 154,908 × 154,908
  4. Step 4: Simplify right side
    74,446x = 23,996,488,464
  5. Step 5: Solve for x
    x = 23,996,488,464/74,446
  6. Step 6: Final answer
    x = 322,334.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.