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Finding the Third Proportional to 150,861.75 and 314,237.25

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Solution

The third proportional to 150,861.75 and 314,237.25 is: 654,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,861.75 : 314,237.25 = 314,237.25 : x
  2. Step 2: Convert to fraction form
    150,861.75/314,237.25 = 314,237.25/x
  3. Step 3: Cross multiply
    150,861.75x = 314,237.25 × 314,237.25
  4. Step 4: Simplify right side
    150,861.75x = 98,745,049,287.56
  5. Step 5: Solve for x
    x = 98,745,049,287.56/150,861.75
  6. Step 6: Final answer
    x = 654,540.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.