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Finding the Third Proportional to 184,882 and 264,199

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Solution

The third proportional to 184,882 and 264,199 is: 377,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,882 : 264,199 = 264,199 : x
  2. Step 2: Convert to fraction form
    184,882/264,199 = 264,199/x
  3. Step 3: Cross multiply
    184,882x = 264,199 × 264,199
  4. Step 4: Simplify right side
    184,882x = 69,801,111,601
  5. Step 5: Solve for x
    x = 69,801,111,601/184,882
  6. Step 6: Final answer
    x = 377,544.12

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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.