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Finding the Third Proportional to 260,853.75 and 414,951.75

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Solution

The third proportional to 260,853.75 and 414,951.75 is: 660,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,853.75 : 414,951.75 = 414,951.75 : x
  2. Step 2: Convert to fraction form
    260,853.75/414,951.75 = 414,951.75/x
  3. Step 3: Cross multiply
    260,853.75x = 414,951.75 × 414,951.75
  4. Step 4: Simplify right side
    260,853.75x = 172,184,954,828.06
  5. Step 5: Solve for x
    x = 172,184,954,828.06/260,853.75
  6. Step 6: Final answer
    x = 660,082.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.