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Finding the Third Proportional to 184,998 and 276,743

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Solution

The third proportional to 184,998 and 276,743 is: 413,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,998 : 276,743 = 276,743 : x
  2. Step 2: Convert to fraction form
    184,998/276,743 = 276,743/x
  3. Step 3: Cross multiply
    184,998x = 276,743 × 276,743
  4. Step 4: Simplify right side
    184,998x = 76,586,688,049
  5. Step 5: Solve for x
    x = 76,586,688,049/184,998
  6. Step 6: Final answer
    x = 413,986.57

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Why These Related Problems?

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