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Finding the Third Proportional to 151,729 and 332,483

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Solution

The third proportional to 151,729 and 332,483 is: 728,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,729 : 332,483 = 332,483 : x
  2. Step 2: Convert to fraction form
    151,729/332,483 = 332,483/x
  3. Step 3: Cross multiply
    151,729x = 332,483 × 332,483
  4. Step 4: Simplify right side
    151,729x = 110,544,945,289
  5. Step 5: Solve for x
    x = 110,544,945,289/151,729
  6. Step 6: Final answer
    x = 728,568.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.