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Finding the Third Proportional to 130,914 and 204,795

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Solution

The third proportional to 130,914 and 204,795 is: 320,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,914 : 204,795 = 204,795 : x
  2. Step 2: Convert to fraction form
    130,914/204,795 = 204,795/x
  3. Step 3: Cross multiply
    130,914x = 204,795 × 204,795
  4. Step 4: Simplify right side
    130,914x = 41,940,992,025
  5. Step 5: Solve for x
    x = 41,940,992,025/130,914
  6. Step 6: Final answer
    x = 320,370.56

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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.