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Finding the Third Proportional to 184,039 and 260,983

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Solution

The third proportional to 184,039 and 260,983 is: 370,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,039 : 260,983 = 260,983 : x
  2. Step 2: Convert to fraction form
    184,039/260,983 = 260,983/x
  3. Step 3: Cross multiply
    184,039x = 260,983 × 260,983
  4. Step 4: Simplify right side
    184,039x = 68,112,126,289
  5. Step 5: Solve for x
    x = 68,112,126,289/184,039
  6. Step 6: Final answer
    x = 370,096.16

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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.