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Finding the Third Proportional to 183,717 and 384,030

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Solution

The third proportional to 183,717 and 384,030 is: 802,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,717 : 384,030 = 384,030 : x
  2. Step 2: Convert to fraction form
    183,717/384,030 = 384,030/x
  3. Step 3: Cross multiply
    183,717x = 384,030 × 384,030
  4. Step 4: Simplify right side
    183,717x = 147,479,040,900
  5. Step 5: Solve for x
    x = 147,479,040,900/183,717
  6. Step 6: Final answer
    x = 802,751.19

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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.