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Finding the Third Proportional to 134,284 and 188,231

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Solution

The third proportional to 134,284 and 188,231 is: 263,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,284 : 188,231 = 188,231 : x
  2. Step 2: Convert to fraction form
    134,284/188,231 = 188,231/x
  3. Step 3: Cross multiply
    134,284x = 188,231 × 188,231
  4. Step 4: Simplify right side
    134,284x = 35,430,909,361
  5. Step 5: Solve for x
    x = 35,430,909,361/134,284
  6. Step 6: Final answer
    x = 263,850.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.