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Finding the Third Proportional to 184,853 and 276,047

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Solution

The third proportional to 184,853 and 276,047 is: 412,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,853 : 276,047 = 276,047 : x
  2. Step 2: Convert to fraction form
    184,853/276,047 = 276,047/x
  3. Step 3: Cross multiply
    184,853x = 276,047 × 276,047
  4. Step 4: Simplify right side
    184,853x = 76,201,946,209
  5. Step 5: Solve for x
    x = 76,201,946,209/184,853
  6. Step 6: Final answer
    x = 412,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.