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Finding the Third Proportional to 189,530 and 295,698

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Solution

The third proportional to 189,530 and 295,698 is: 461,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,530 : 295,698 = 295,698 : x
  2. Step 2: Convert to fraction form
    189,530/295,698 = 295,698/x
  3. Step 3: Cross multiply
    189,530x = 295,698 × 295,698
  4. Step 4: Simplify right side
    189,530x = 87,437,307,204
  5. Step 5: Solve for x
    x = 87,437,307,204/189,530
  6. Step 6: Final answer
    x = 461,337.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.