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Finding the Third Proportional to 152,682 and 325,651.50

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Solution

The third proportional to 152,682 and 325,651.50 is: 694,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,682 : 325,651.50 = 325,651.50 : x
  2. Step 2: Convert to fraction form
    152,682/325,651.50 = 325,651.50/x
  3. Step 3: Cross multiply
    152,682x = 325,651.50 × 325,651.50
  4. Step 4: Simplify right side
    152,682x = 106,048,899,452.25
  5. Step 5: Solve for x
    x = 106,048,899,452.25/152,682
  6. Step 6: Final answer
    x = 694,573.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.