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Finding the Third Proportional to 150,712.50 and 325,085.25

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Solution

The third proportional to 150,712.50 and 325,085.25 is: 701,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,712.50 : 325,085.25 = 325,085.25 : x
  2. Step 2: Convert to fraction form
    150,712.50/325,085.25 = 325,085.25/x
  3. Step 3: Cross multiply
    150,712.50x = 325,085.25 × 325,085.25
  4. Step 4: Simplify right side
    150,712.50x = 105,680,419,767.56
  5. Step 5: Solve for x
    x = 105,680,419,767.56/150,712.50
  6. Step 6: Final answer
    x = 701,205.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.