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Finding the Third Proportional to 143,138 and 214,851

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Solution

The third proportional to 143,138 and 214,851 is: 322,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,138 : 214,851 = 214,851 : x
  2. Step 2: Convert to fraction form
    143,138/214,851 = 214,851/x
  3. Step 3: Cross multiply
    143,138x = 214,851 × 214,851
  4. Step 4: Simplify right side
    143,138x = 46,160,952,201
  5. Step 5: Solve for x
    x = 46,160,952,201/143,138
  6. Step 6: Final answer
    x = 322,492.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.