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Finding the Third Proportional to 146,444 and 214,104

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Solution

The third proportional to 146,444 and 214,104 is: 313,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,444 : 214,104 = 214,104 : x
  2. Step 2: Convert to fraction form
    146,444/214,104 = 214,104/x
  3. Step 3: Cross multiply
    146,444x = 214,104 × 214,104
  4. Step 4: Simplify right side
    146,444x = 45,840,522,816
  5. Step 5: Solve for x
    x = 45,840,522,816/146,444
  6. Step 6: Final answer
    x = 313,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.