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Finding the Third Proportional to 78,178 and 184,366

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Solution

The third proportional to 78,178 and 184,366 is: 434,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178 : 184,366 = 184,366 : x
  2. Step 2: Convert to fraction form
    78,178/184,366 = 184,366/x
  3. Step 3: Cross multiply
    78,178x = 184,366 × 184,366
  4. Step 4: Simplify right side
    78,178x = 33,990,821,956
  5. Step 5: Solve for x
    x = 33,990,821,956/78,178
  6. Step 6: Final answer
    x = 434,787.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.