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Finding the Third Proportional to 184,982 and 276,964

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Solution

The third proportional to 184,982 and 276,964 is: 414,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,982 : 276,964 = 276,964 : x
  2. Step 2: Convert to fraction form
    184,982/276,964 = 276,964/x
  3. Step 3: Cross multiply
    184,982x = 276,964 × 276,964
  4. Step 4: Simplify right side
    184,982x = 76,709,057,296
  5. Step 5: Solve for x
    x = 76,709,057,296/184,982
  6. Step 6: Final answer
    x = 414,683.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.