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Finding the Third Proportional to 184,884 and 264,201

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Solution

The third proportional to 184,884 and 264,201 is: 377,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,884 : 264,201 = 264,201 : x
  2. Step 2: Convert to fraction form
    184,884/264,201 = 264,201/x
  3. Step 3: Cross multiply
    184,884x = 264,201 × 264,201
  4. Step 4: Simplify right side
    184,884x = 69,802,168,401
  5. Step 5: Solve for x
    x = 69,802,168,401/184,884
  6. Step 6: Final answer
    x = 377,545.75

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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.