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Finding the Third Proportional to 164,232.75 and 356,349.56

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Solution

The third proportional to 164,232.75 and 356,349.56 is: 773,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,232.75 : 356,349.56 = 356,349.56 : x
  2. Step 2: Convert to fraction form
    164,232.75/356,349.56 = 356,349.56/x
  3. Step 3: Cross multiply
    164,232.75x = 356,349.56 × 356,349.56
  4. Step 4: Simplify right side
    164,232.75x = 126,985,010,693.94
  5. Step 5: Solve for x
    x = 126,985,010,693.94/164,232.75
  6. Step 6: Final answer
    x = 773,201.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.