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Finding the Third Proportional to 184,950 and 436,329

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Solution

The third proportional to 184,950 and 436,329 is: 1,029,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,950 : 436,329 = 436,329 : x
  2. Step 2: Convert to fraction form
    184,950/436,329 = 436,329/x
  3. Step 3: Cross multiply
    184,950x = 436,329 × 436,329
  4. Step 4: Simplify right side
    184,950x = 190,382,996,241
  5. Step 5: Solve for x
    x = 190,382,996,241/184,950
  6. Step 6: Final answer
    x = 1,029,375.49

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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.