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Finding the Third Proportional to 183,041 and 335,707

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Solution

The third proportional to 183,041 and 335,707 is: 615,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,041 : 335,707 = 335,707 : x
  2. Step 2: Convert to fraction form
    183,041/335,707 = 335,707/x
  3. Step 3: Cross multiply
    183,041x = 335,707 × 335,707
  4. Step 4: Simplify right side
    183,041x = 112,699,189,849
  5. Step 5: Solve for x
    x = 112,699,189,849/183,041
  6. Step 6: Final answer
    x = 615,704.62

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.