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Finding the Third Proportional to 183,714 and 260,027

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Solution

The third proportional to 183,714 and 260,027 is: 368,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,714 : 260,027 = 260,027 : x
  2. Step 2: Convert to fraction form
    183,714/260,027 = 260,027/x
  3. Step 3: Cross multiply
    183,714x = 260,027 × 260,027
  4. Step 4: Simplify right side
    183,714x = 67,614,040,729
  5. Step 5: Solve for x
    x = 67,614,040,729/183,714
  6. Step 6: Final answer
    x = 368,039.67

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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.