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Finding the Third Proportional to 260,674.50 and 416,305.50

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Solution

The third proportional to 260,674.50 and 416,305.50 is: 664,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,674.50 : 416,305.50 = 416,305.50 : x
  2. Step 2: Convert to fraction form
    260,674.50/416,305.50 = 416,305.50/x
  3. Step 3: Cross multiply
    260,674.50x = 416,305.50 × 416,305.50
  4. Step 4: Simplify right side
    260,674.50x = 173,310,269,330.25
  5. Step 5: Solve for x
    x = 173,310,269,330.25/260,674.50
  6. Step 6: Final answer
    x = 664,853.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.