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Finding the Third Proportional to 151,769 and 332,546

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Solution

The third proportional to 151,769 and 332,546 is: 728,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,769 : 332,546 = 332,546 : x
  2. Step 2: Convert to fraction form
    151,769/332,546 = 332,546/x
  3. Step 3: Cross multiply
    151,769x = 332,546 × 332,546
  4. Step 4: Simplify right side
    151,769x = 110,586,842,116
  5. Step 5: Solve for x
    x = 110,586,842,116/151,769
  6. Step 6: Final answer
    x = 728,652.37

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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.