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Finding the Third Proportional to 184,568 and 289,969

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Solution

The third proportional to 184,568 and 289,969 is: 455,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,568 : 289,969 = 289,969 : x
  2. Step 2: Convert to fraction form
    184,568/289,969 = 289,969/x
  3. Step 3: Cross multiply
    184,568x = 289,969 × 289,969
  4. Step 4: Simplify right side
    184,568x = 84,082,020,961
  5. Step 5: Solve for x
    x = 84,082,020,961/184,568
  6. Step 6: Final answer
    x = 455,561.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.