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Finding the Third Proportional to 214,161 and 281,446.50

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Solution

The third proportional to 214,161 and 281,446.50 is: 369,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,161 : 281,446.50 = 281,446.50 : x
  2. Step 2: Convert to fraction form
    214,161/281,446.50 = 281,446.50/x
  3. Step 3: Cross multiply
    214,161x = 281,446.50 × 281,446.50
  4. Step 4: Simplify right side
    214,161x = 79,212,132,362.25
  5. Step 5: Solve for x
    x = 79,212,132,362.25/214,161
  6. Step 6: Final answer
    x = 369,871.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.