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Finding the Third Proportional to 243,081 and 367,974

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Solution

The third proportional to 243,081 and 367,974 is: 557,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,081 : 367,974 = 367,974 : x
  2. Step 2: Convert to fraction form
    243,081/367,974 = 367,974/x
  3. Step 3: Cross multiply
    243,081x = 367,974 × 367,974
  4. Step 4: Simplify right side
    243,081x = 135,404,864,676
  5. Step 5: Solve for x
    x = 135,404,864,676/243,081
  6. Step 6: Final answer
    x = 557,035.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.