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Finding the Third Proportional to 143,821.50 and 222,897

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Solution

The third proportional to 143,821.50 and 222,897 is: 345,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,821.50 : 222,897 = 222,897 : x
  2. Step 2: Convert to fraction form
    143,821.50/222,897 = 222,897/x
  3. Step 3: Cross multiply
    143,821.50x = 222,897 × 222,897
  4. Step 4: Simplify right side
    143,821.50x = 49,683,072,609
  5. Step 5: Solve for x
    x = 49,683,072,609/143,821.50
  6. Step 6: Final answer
    x = 345,449.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.