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Finding the Third Proportional to 143,999.44 and 310,074.75

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Solution

The third proportional to 143,999.44 and 310,074.75 is: 667,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,999.44 : 310,074.75 = 310,074.75 : x
  2. Step 2: Convert to fraction form
    143,999.44/310,074.75 = 310,074.75/x
  3. Step 3: Cross multiply
    143,999.44x = 310,074.75 × 310,074.75
  4. Step 4: Simplify right side
    143,999.44x = 96,146,350,587.56
  5. Step 5: Solve for x
    x = 96,146,350,587.56/143,999.44
  6. Step 6: Final answer
    x = 667,685.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.