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Finding the Third Proportional to 184,960 and 436,353

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Solution

The third proportional to 184,960 and 436,353 is: 1,029,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,960 : 436,353 = 436,353 : x
  2. Step 2: Convert to fraction form
    184,960/436,353 = 436,353/x
  3. Step 3: Cross multiply
    184,960x = 436,353 × 436,353
  4. Step 4: Simplify right side
    184,960x = 190,403,940,609
  5. Step 5: Solve for x
    x = 190,403,940,609/184,960
  6. Step 6: Final answer
    x = 1,029,433.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.