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Finding the Third Proportional to 185,803.88 and 284,697.56

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Solution

The third proportional to 185,803.88 and 284,697.56 is: 436,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,803.88 : 284,697.56 = 284,697.56 : x
  2. Step 2: Convert to fraction form
    185,803.88/284,697.56 = 284,697.56/x
  3. Step 3: Cross multiply
    185,803.88x = 284,697.56 × 284,697.56
  4. Step 4: Simplify right side
    185,803.88x = 81,052,702,093.44
  5. Step 5: Solve for x
    x = 81,052,702,093.44/185,803.88
  6. Step 6: Final answer
    x = 436,227.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.