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Finding the Third Proportional to 78,182 and 184,376

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Solution

The third proportional to 78,182 and 184,376 is: 434,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182 : 184,376 = 184,376 : x
  2. Step 2: Convert to fraction form
    78,182/184,376 = 184,376/x
  3. Step 3: Cross multiply
    78,182x = 184,376 × 184,376
  4. Step 4: Simplify right side
    78,182x = 33,994,509,376
  5. Step 5: Solve for x
    x = 33,994,509,376/78,182
  6. Step 6: Final answer
    x = 434,812.48

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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.