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Finding the Third Proportional to 184,580 and 263,950

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Solution

The third proportional to 184,580 and 263,950 is: 377,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,580 : 263,950 = 263,950 : x
  2. Step 2: Convert to fraction form
    184,580/263,950 = 263,950/x
  3. Step 3: Cross multiply
    184,580x = 263,950 × 263,950
  4. Step 4: Simplify right side
    184,580x = 69,669,602,500
  5. Step 5: Solve for x
    x = 69,669,602,500/184,580
  6. Step 6: Final answer
    x = 377,449.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.