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Finding the Third Proportional to 116,318 and 184,485

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Solution

The third proportional to 116,318 and 184,485 is: 292,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,318 : 184,485 = 184,485 : x
  2. Step 2: Convert to fraction form
    116,318/184,485 = 184,485/x
  3. Step 3: Cross multiply
    116,318x = 184,485 × 184,485
  4. Step 4: Simplify right side
    116,318x = 34,034,715,225
  5. Step 5: Solve for x
    x = 34,034,715,225/116,318
  6. Step 6: Final answer
    x = 292,600.59

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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.