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Finding the Third Proportional to 116,328 and 184,500

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Solution

The third proportional to 116,328 and 184,500 is: 292,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,328 : 184,500 = 184,500 : x
  2. Step 2: Convert to fraction form
    116,328/184,500 = 184,500/x
  3. Step 3: Cross multiply
    116,328x = 184,500 × 184,500
  4. Step 4: Simplify right side
    116,328x = 34,040,250,000
  5. Step 5: Solve for x
    x = 34,040,250,000/116,328
  6. Step 6: Final answer
    x = 292,623.01

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