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Finding the Third Proportional to 184,606 and 276,602

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Solution

The third proportional to 184,606 and 276,602 is: 414,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,606 : 276,602 = 276,602 : x
  2. Step 2: Convert to fraction form
    184,606/276,602 = 276,602/x
  3. Step 3: Cross multiply
    184,606x = 276,602 × 276,602
  4. Step 4: Simplify right side
    184,606x = 76,508,666,404
  5. Step 5: Solve for x
    x = 76,508,666,404/184,606
  6. Step 6: Final answer
    x = 414,443.01

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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.