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Finding the Third Proportional to 152,664.75 and 325,618.88

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Solution

The third proportional to 152,664.75 and 325,618.88 is: 694,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,664.75 : 325,618.88 = 325,618.88 : x
  2. Step 2: Convert to fraction form
    152,664.75/325,618.88 = 325,618.88/x
  3. Step 3: Cross multiply
    152,664.75x = 325,618.88 × 325,618.88
  4. Step 4: Simplify right side
    152,664.75x = 106,027,651,756.27
  5. Step 5: Solve for x
    x = 106,027,651,756.27/152,664.75
  6. Step 6: Final answer
    x = 694,512.99

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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.