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Finding the Third Proportional to 184,887 and 264,208

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Solution

The third proportional to 184,887 and 264,208 is: 377,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,887 : 264,208 = 264,208 : x
  2. Step 2: Convert to fraction form
    184,887/264,208 = 264,208/x
  3. Step 3: Cross multiply
    184,887x = 264,208 × 264,208
  4. Step 4: Simplify right side
    184,887x = 69,805,867,264
  5. Step 5: Solve for x
    x = 69,805,867,264/184,887
  6. Step 6: Final answer
    x = 377,559.63

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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.