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Finding the Third Proportional to 146,130 and 225,351

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Solution

The third proportional to 146,130 and 225,351 is: 347,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,130 : 225,351 = 225,351 : x
  2. Step 2: Convert to fraction form
    146,130/225,351 = 225,351/x
  3. Step 3: Cross multiply
    146,130x = 225,351 × 225,351
  4. Step 4: Simplify right side
    146,130x = 50,783,073,201
  5. Step 5: Solve for x
    x = 50,783,073,201/146,130
  6. Step 6: Final answer
    x = 347,519.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.