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Finding the Third Proportional to 188,090 and 255,162

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Solution

The third proportional to 188,090 and 255,162 is: 346,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,090 : 255,162 = 255,162 : x
  2. Step 2: Convert to fraction form
    188,090/255,162 = 255,162/x
  3. Step 3: Cross multiply
    188,090x = 255,162 × 255,162
  4. Step 4: Simplify right side
    188,090x = 65,107,646,244
  5. Step 5: Solve for x
    x = 65,107,646,244/188,090
  6. Step 6: Final answer
    x = 346,151.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.