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Finding the Third Proportional to 188,114 and 255,195

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Solution

The third proportional to 188,114 and 255,195 is: 346,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,114 : 255,195 = 255,195 : x
  2. Step 2: Convert to fraction form
    188,114/255,195 = 255,195/x
  3. Step 3: Cross multiply
    188,114x = 255,195 × 255,195
  4. Step 4: Simplify right side
    188,114x = 65,124,488,025
  5. Step 5: Solve for x
    x = 65,124,488,025/188,114
  6. Step 6: Final answer
    x = 346,196.92

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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.