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Finding the Third Proportional to 184,251 and 276,322.50

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Solution

The third proportional to 184,251 and 276,322.50 is: 414,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,251 : 276,322.50 = 276,322.50 : x
  2. Step 2: Convert to fraction form
    184,251/276,322.50 = 276,322.50/x
  3. Step 3: Cross multiply
    184,251x = 276,322.50 × 276,322.50
  4. Step 4: Simplify right side
    184,251x = 76,354,124,006.25
  5. Step 5: Solve for x
    x = 76,354,124,006.25/184,251
  6. Step 6: Final answer
    x = 414,402.77

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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.