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Finding the Third Proportional to 146,725.50 and 223,170

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Solution

The third proportional to 146,725.50 and 223,170 is: 339,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,725.50 : 223,170 = 223,170 : x
  2. Step 2: Convert to fraction form
    146,725.50/223,170 = 223,170/x
  3. Step 3: Cross multiply
    146,725.50x = 223,170 × 223,170
  4. Step 4: Simplify right side
    146,725.50x = 49,804,848,900
  5. Step 5: Solve for x
    x = 49,804,848,900/146,725.50
  6. Step 6: Final answer
    x = 339,442.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.