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Finding the Third Proportional to 184,211 and 292,923

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Solution

The third proportional to 184,211 and 292,923 is: 465,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,211 : 292,923 = 292,923 : x
  2. Step 2: Convert to fraction form
    184,211/292,923 = 292,923/x
  3. Step 3: Cross multiply
    184,211x = 292,923 × 292,923
  4. Step 4: Simplify right side
    184,211x = 85,803,883,929
  5. Step 5: Solve for x
    x = 85,803,883,929/184,211
  6. Step 6: Final answer
    x = 465,791.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.