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Finding the Third Proportional to 184,686 and 286,533

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Solution

The third proportional to 184,686 and 286,533 is: 444,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,686 : 286,533 = 286,533 : x
  2. Step 2: Convert to fraction form
    184,686/286,533 = 286,533/x
  3. Step 3: Cross multiply
    184,686x = 286,533 × 286,533
  4. Step 4: Simplify right side
    184,686x = 82,101,160,089
  5. Step 5: Solve for x
    x = 82,101,160,089/184,686
  6. Step 6: Final answer
    x = 444,544.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.