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Finding the Third Proportional to 151,845.75 and 332,290.69

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Solution

The third proportional to 151,845.75 and 332,290.69 is: 727,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,845.75 : 332,290.69 = 332,290.69 : x
  2. Step 2: Convert to fraction form
    151,845.75/332,290.69 = 332,290.69/x
  3. Step 3: Cross multiply
    151,845.75x = 332,290.69 × 332,290.69
  4. Step 4: Simplify right side
    151,845.75x = 110,417,100,999.22
  5. Step 5: Solve for x
    x = 110,417,100,999.22/151,845.75
  6. Step 6: Final answer
    x = 727,166.23

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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.