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Finding the Third Proportional to 184,522.50 and 275,819.63

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Solution

The third proportional to 184,522.50 and 275,819.63 is: 412,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,522.50 : 275,819.63 = 275,819.63 : x
  2. Step 2: Convert to fraction form
    184,522.50/275,819.63 = 275,819.63/x
  3. Step 3: Cross multiply
    184,522.50x = 275,819.63 × 275,819.63
  4. Step 4: Simplify right side
    184,522.50x = 76,076,465,535.14
  5. Step 5: Solve for x
    x = 76,076,465,535.14/184,522.50
  6. Step 6: Final answer
    x = 412,288.29

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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.