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Finding the Third Proportional to 150,837.75 and 312,113.25

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Solution

The third proportional to 150,837.75 and 312,113.25 is: 645,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,837.75 : 312,113.25 = 312,113.25 : x
  2. Step 2: Convert to fraction form
    150,837.75/312,113.25 = 312,113.25/x
  3. Step 3: Cross multiply
    150,837.75x = 312,113.25 × 312,113.25
  4. Step 4: Simplify right side
    150,837.75x = 97,414,680,825.56
  5. Step 5: Solve for x
    x = 97,414,680,825.56/150,837.75
  6. Step 6: Final answer
    x = 645,824.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.