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Finding the Third Proportional to 146,200 and 232,608

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Solution

The third proportional to 146,200 and 232,608 is: 370,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200 : 232,608 = 232,608 : x
  2. Step 2: Convert to fraction form
    146,200/232,608 = 232,608/x
  3. Step 3: Cross multiply
    146,200x = 232,608 × 232,608
  4. Step 4: Simplify right side
    146,200x = 54,106,481,664
  5. Step 5: Solve for x
    x = 54,106,481,664/146,200
  6. Step 6: Final answer
    x = 370,085.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.