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Finding the Third Proportional to 185,047.03 and 384,633.56

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Solution

The third proportional to 185,047.03 and 384,633.56 is: 799,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,047.03 : 384,633.56 = 384,633.56 : x
  2. Step 2: Convert to fraction form
    185,047.03/384,633.56 = 384,633.56/x
  3. Step 3: Cross multiply
    185,047.03x = 384,633.56 × 384,633.56
  4. Step 4: Simplify right side
    185,047.03x = 147,942,977,401.44
  5. Step 5: Solve for x
    x = 147,942,977,401.44/185,047.03
  6. Step 6: Final answer
    x = 799,488.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.