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Finding the Third Proportional to 184,482 and 282,075

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Solution

The third proportional to 184,482 and 282,075 is: 431,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,482 : 282,075 = 282,075 : x
  2. Step 2: Convert to fraction form
    184,482/282,075 = 282,075/x
  3. Step 3: Cross multiply
    184,482x = 282,075 × 282,075
  4. Step 4: Simplify right side
    184,482x = 79,566,305,625
  5. Step 5: Solve for x
    x = 79,566,305,625/184,482
  6. Step 6: Final answer
    x = 431,295.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.