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Finding the Third Proportional to 184,014 and 276,942

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Solution

The third proportional to 184,014 and 276,942 is: 416,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,014 : 276,942 = 276,942 : x
  2. Step 2: Convert to fraction form
    184,014/276,942 = 276,942/x
  3. Step 3: Cross multiply
    184,014x = 276,942 × 276,942
  4. Step 4: Simplify right side
    184,014x = 76,696,871,364
  5. Step 5: Solve for x
    x = 76,696,871,364/184,014
  6. Step 6: Final answer
    x = 416,799.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.