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Finding the Third Proportional to 184,180 and 284,406

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Solution

The third proportional to 184,180 and 284,406 is: 439,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,180 : 284,406 = 284,406 : x
  2. Step 2: Convert to fraction form
    184,180/284,406 = 284,406/x
  3. Step 3: Cross multiply
    184,180x = 284,406 × 284,406
  4. Step 4: Simplify right side
    184,180x = 80,886,772,836
  5. Step 5: Solve for x
    x = 80,886,772,836/184,180
  6. Step 6: Final answer
    x = 439,172.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.