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Finding the Third Proportional to 143,818 and 214,906

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Solution

The third proportional to 143,818 and 214,906 is: 321,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,818 : 214,906 = 214,906 : x
  2. Step 2: Convert to fraction form
    143,818/214,906 = 214,906/x
  3. Step 3: Cross multiply
    143,818x = 214,906 × 214,906
  4. Step 4: Simplify right side
    143,818x = 46,184,588,836
  5. Step 5: Solve for x
    x = 46,184,588,836/143,818
  6. Step 6: Final answer
    x = 321,132.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.