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Finding the Third Proportional to 142,314.75 and 214,405.88

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Solution

The third proportional to 142,314.75 and 214,405.88 is: 323,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,314.75 : 214,405.88 = 214,405.88 : x
  2. Step 2: Convert to fraction form
    142,314.75/214,405.88 = 214,405.88/x
  3. Step 3: Cross multiply
    142,314.75x = 214,405.88 × 214,405.88
  4. Step 4: Simplify right side
    142,314.75x = 45,969,879,234.52
  5. Step 5: Solve for x
    x = 45,969,879,234.52/142,314.75
  6. Step 6: Final answer
    x = 323,015.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.