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Finding the Third Proportional to 184,202 and 275,166

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Solution

The third proportional to 184,202 and 275,166 is: 411,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,202 : 275,166 = 275,166 : x
  2. Step 2: Convert to fraction form
    184,202/275,166 = 275,166/x
  3. Step 3: Cross multiply
    184,202x = 275,166 × 275,166
  4. Step 4: Simplify right side
    184,202x = 75,716,327,556
  5. Step 5: Solve for x
    x = 75,716,327,556/184,202
  6. Step 6: Final answer
    x = 411,050.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.