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Finding the Third Proportional to 184,032 and 260,973

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Solution

The third proportional to 184,032 and 260,973 is: 370,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,032 : 260,973 = 260,973 : x
  2. Step 2: Convert to fraction form
    184,032/260,973 = 260,973/x
  3. Step 3: Cross multiply
    184,032x = 260,973 × 260,973
  4. Step 4: Simplify right side
    184,032x = 68,106,906,729
  5. Step 5: Solve for x
    x = 68,106,906,729/184,032
  6. Step 6: Final answer
    x = 370,081.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.