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Finding the Third Proportional to 174,321.50 and 269,366.25

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Solution

The third proportional to 174,321.50 and 269,366.25 is: 416,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,321.50 : 269,366.25 = 269,366.25 : x
  2. Step 2: Convert to fraction form
    174,321.50/269,366.25 = 269,366.25/x
  3. Step 3: Cross multiply
    174,321.50x = 269,366.25 × 269,366.25
  4. Step 4: Simplify right side
    174,321.50x = 72,558,176,639.06
  5. Step 5: Solve for x
    x = 72,558,176,639.06/174,321.50
  6. Step 6: Final answer
    x = 416,231.94

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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.