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Finding the Third Proportional to 183,694 and 280,974

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Solution

The third proportional to 183,694 and 280,974 is: 429,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,694 : 280,974 = 280,974 : x
  2. Step 2: Convert to fraction form
    183,694/280,974 = 280,974/x
  3. Step 3: Cross multiply
    183,694x = 280,974 × 280,974
  4. Step 4: Simplify right side
    183,694x = 78,946,388,676
  5. Step 5: Solve for x
    x = 78,946,388,676/183,694
  6. Step 6: Final answer
    x = 429,771.19

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.