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Finding the Third Proportional to 184,562 and 401,140

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Solution

The third proportional to 184,562 and 401,140 is: 871,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,562 : 401,140 = 401,140 : x
  2. Step 2: Convert to fraction form
    184,562/401,140 = 401,140/x
  3. Step 3: Cross multiply
    184,562x = 401,140 × 401,140
  4. Step 4: Simplify right side
    184,562x = 160,913,299,600
  5. Step 5: Solve for x
    x = 160,913,299,600/184,562
  6. Step 6: Final answer
    x = 871,865.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.