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Finding the Third Proportional to 184,234.50 and 279,675.28

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Solution

The third proportional to 184,234.50 and 279,675.28 is: 424,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,234.50 : 279,675.28 = 279,675.28 : x
  2. Step 2: Convert to fraction form
    184,234.50/279,675.28 = 279,675.28/x
  3. Step 3: Cross multiply
    184,234.50x = 279,675.28 × 279,675.28
  4. Step 4: Simplify right side
    184,234.50x = 78,218,262,942.27
  5. Step 5: Solve for x
    x = 78,218,262,942.27/184,234.50
  6. Step 6: Final answer
    x = 424,558.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.