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Finding the Third Proportional to 184,530.94 and 276,796.13

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Solution

The third proportional to 184,530.94 and 276,796.13 is: 415,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,530.94 : 276,796.13 = 276,796.13 : x
  2. Step 2: Convert to fraction form
    184,530.94/276,796.13 = 276,796.13/x
  3. Step 3: Cross multiply
    184,530.94x = 276,796.13 × 276,796.13
  4. Step 4: Simplify right side
    184,530.94x = 76,616,094,815.02
  5. Step 5: Solve for x
    x = 76,616,094,815.02/184,530.94
  6. Step 6: Final answer
    x = 415,193.77

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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.