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Finding the Third Proportional to 88,512 and 184,464

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Solution

The third proportional to 88,512 and 184,464 is: 384,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,512 : 184,464 = 184,464 : x
  2. Step 2: Convert to fraction form
    88,512/184,464 = 184,464/x
  3. Step 3: Cross multiply
    88,512x = 184,464 × 184,464
  4. Step 4: Simplify right side
    88,512x = 34,026,967,296
  5. Step 5: Solve for x
    x = 34,026,967,296/88,512
  6. Step 6: Final answer
    x = 384,433.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.