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Finding the Third Proportional to 184,860 and 274,572

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Solution

The third proportional to 184,860 and 274,572 is: 407,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,860 : 274,572 = 274,572 : x
  2. Step 2: Convert to fraction form
    184,860/274,572 = 274,572/x
  3. Step 3: Cross multiply
    184,860x = 274,572 × 274,572
  4. Step 4: Simplify right side
    184,860x = 75,389,783,184
  5. Step 5: Solve for x
    x = 75,389,783,184/184,860
  6. Step 6: Final answer
    x = 407,820.96

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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.