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Finding the Third Proportional to 109,228.50 and 169,668

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Solution

The third proportional to 109,228.50 and 169,668 is: 263,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,228.50 : 169,668 = 169,668 : x
  2. Step 2: Convert to fraction form
    109,228.50/169,668 = 169,668/x
  3. Step 3: Cross multiply
    109,228.50x = 169,668 × 169,668
  4. Step 4: Simplify right side
    109,228.50x = 28,787,230,224
  5. Step 5: Solve for x
    x = 28,787,230,224/109,228.50
  6. Step 6: Final answer
    x = 263,550.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.