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Finding the Third Proportional to 183,642 and 383,889

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Solution

The third proportional to 183,642 and 383,889 is: 802,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,642 : 383,889 = 383,889 : x
  2. Step 2: Convert to fraction form
    183,642/383,889 = 383,889/x
  3. Step 3: Cross multiply
    183,642x = 383,889 × 383,889
  4. Step 4: Simplify right side
    183,642x = 147,370,764,321
  5. Step 5: Solve for x
    x = 147,370,764,321/183,642
  6. Step 6: Final answer
    x = 802,489.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.