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Finding the Third Proportional to 118,984 and 184,236

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Solution

The third proportional to 118,984 and 184,236 is: 285,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,984 : 184,236 = 184,236 : x
  2. Step 2: Convert to fraction form
    118,984/184,236 = 184,236/x
  3. Step 3: Cross multiply
    118,984x = 184,236 × 184,236
  4. Step 4: Simplify right side
    118,984x = 33,942,903,696
  5. Step 5: Solve for x
    x = 33,942,903,696/118,984
  6. Step 6: Final answer
    x = 285,272.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.