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Finding the Third Proportional to 184,522.50 and 275,820.75

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Solution

The third proportional to 184,522.50 and 275,820.75 is: 412,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,522.50 : 275,820.75 = 275,820.75 : x
  2. Step 2: Convert to fraction form
    184,522.50/275,820.75 = 275,820.75/x
  3. Step 3: Cross multiply
    184,522.50x = 275,820.75 × 275,820.75
  4. Step 4: Simplify right side
    184,522.50x = 76,077,086,130.56
  5. Step 5: Solve for x
    x = 76,077,086,130.56/184,522.50
  6. Step 6: Final answer
    x = 412,291.65

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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.