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Finding the Third Proportional to 147,450 and 222,397

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Solution

The third proportional to 147,450 and 222,397 is: 335,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,450 : 222,397 = 222,397 : x
  2. Step 2: Convert to fraction form
    147,450/222,397 = 222,397/x
  3. Step 3: Cross multiply
    147,450x = 222,397 × 222,397
  4. Step 4: Simplify right side
    147,450x = 49,460,425,609
  5. Step 5: Solve for x
    x = 49,460,425,609/147,450
  6. Step 6: Final answer
    x = 335,438.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.