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Finding the Third Proportional to 143,247 and 221,097

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Solution

The third proportional to 143,247 and 221,097 is: 341,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,247 : 221,097 = 221,097 : x
  2. Step 2: Convert to fraction form
    143,247/221,097 = 221,097/x
  3. Step 3: Cross multiply
    143,247x = 221,097 × 221,097
  4. Step 4: Simplify right side
    143,247x = 48,883,883,409
  5. Step 5: Solve for x
    x = 48,883,883,409/143,247
  6. Step 6: Final answer
    x = 341,255.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.