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Finding the Third Proportional to 134,268 and 205,290

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Solution

The third proportional to 134,268 and 205,290 is: 313,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,268 : 205,290 = 205,290 : x
  2. Step 2: Convert to fraction form
    134,268/205,290 = 205,290/x
  3. Step 3: Cross multiply
    134,268x = 205,290 × 205,290
  4. Step 4: Simplify right side
    134,268x = 42,143,984,100
  5. Step 5: Solve for x
    x = 42,143,984,100/134,268
  6. Step 6: Final answer
    x = 313,879.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.