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Finding the Third Proportional to 151,326 and 332,040

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Solution

The third proportional to 151,326 and 332,040 is: 728,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,326 : 332,040 = 332,040 : x
  2. Step 2: Convert to fraction form
    151,326/332,040 = 332,040/x
  3. Step 3: Cross multiply
    151,326x = 332,040 × 332,040
  4. Step 4: Simplify right side
    151,326x = 110,250,561,600
  5. Step 5: Solve for x
    x = 110,250,561,600/151,326
  6. Step 6: Final answer
    x = 728,563.24

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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.