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Finding the Third Proportional to 184,138.88 and 276,892.88

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Solution

The third proportional to 184,138.88 and 276,892.88 is: 416,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,138.88 : 276,892.88 = 276,892.88 : x
  2. Step 2: Convert to fraction form
    184,138.88/276,892.88 = 276,892.88/x
  3. Step 3: Cross multiply
    184,138.88x = 276,892.88 × 276,892.88
  4. Step 4: Simplify right side
    184,138.88x = 76,669,664,225.77
  5. Step 5: Solve for x
    x = 76,669,664,225.77/184,138.88
  6. Step 6: Final answer
    x = 416,368.70

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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.