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Finding the Third Proportional to 183,723 and 260,041

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Solution

The third proportional to 183,723 and 260,041 is: 368,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,723 : 260,041 = 260,041 : x
  2. Step 2: Convert to fraction form
    183,723/260,041 = 260,041/x
  3. Step 3: Cross multiply
    183,723x = 260,041 × 260,041
  4. Step 4: Simplify right side
    183,723x = 67,621,321,681
  5. Step 5: Solve for x
    x = 67,621,321,681/183,723
  6. Step 6: Final answer
    x = 368,061.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.