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Finding the Third Proportional to 146,665.69 and 353,208.94

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Solution

The third proportional to 146,665.69 and 353,208.94 is: 850,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,665.69 : 353,208.94 = 353,208.94 : x
  2. Step 2: Convert to fraction form
    146,665.69/353,208.94 = 353,208.94/x
  3. Step 3: Cross multiply
    146,665.69x = 353,208.94 × 353,208.94
  4. Step 4: Simplify right side
    146,665.69x = 124,756,553,529.88
  5. Step 5: Solve for x
    x = 124,756,553,529.88/146,665.69
  6. Step 6: Final answer
    x = 850,618.54

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.