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Finding the Third Proportional to 184,021.50 and 276,953.63

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Solution

The third proportional to 184,021.50 and 276,953.63 is: 416,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,021.50 : 276,953.63 = 276,953.63 : x
  2. Step 2: Convert to fraction form
    184,021.50/276,953.63 = 276,953.63/x
  3. Step 3: Cross multiply
    184,021.50x = 276,953.63 × 276,953.63
  4. Step 4: Simplify right side
    184,021.50x = 76,703,310,400.64
  5. Step 5: Solve for x
    x = 76,703,310,400.64/184,021.50
  6. Step 6: Final answer
    x = 416,817.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.