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Finding the Third Proportional to 153,789.75 and 332,844.75

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Solution

The third proportional to 153,789.75 and 332,844.75 is: 720,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,789.75 : 332,844.75 = 332,844.75 : x
  2. Step 2: Convert to fraction form
    153,789.75/332,844.75 = 332,844.75/x
  3. Step 3: Cross multiply
    153,789.75x = 332,844.75 × 332,844.75
  4. Step 4: Simplify right side
    153,789.75x = 110,785,627,602.56
  5. Step 5: Solve for x
    x = 110,785,627,602.56/153,789.75
  6. Step 6: Final answer
    x = 720,370.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.