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Finding the Third Proportional to 185,037 and 384,619

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Solution

The third proportional to 185,037 and 384,619 is: 799,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,037 : 384,619 = 384,619 : x
  2. Step 2: Convert to fraction form
    185,037/384,619 = 384,619/x
  3. Step 3: Cross multiply
    185,037x = 384,619 × 384,619
  4. Step 4: Simplify right side
    185,037x = 147,931,775,161
  5. Step 5: Solve for x
    x = 147,931,775,161/185,037
  6. Step 6: Final answer
    x = 799,471.32

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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.