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Finding the Third Proportional to 184,882.50 and 393,601.78

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Solution

The third proportional to 184,882.50 and 393,601.78 is: 837,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,882.50 : 393,601.78 = 393,601.78 : x
  2. Step 2: Convert to fraction form
    184,882.50/393,601.78 = 393,601.78/x
  3. Step 3: Cross multiply
    184,882.50x = 393,601.78 × 393,601.78
  4. Step 4: Simplify right side
    184,882.50x = 154,922,362,203.17
  5. Step 5: Solve for x
    x = 154,922,362,203.17/184,882.50
  6. Step 6: Final answer
    x = 837,950.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.