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Finding the Third Proportional to 214,842.38 and 329,128.31

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Solution

The third proportional to 214,842.38 and 329,128.31 is: 504,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,842.38 : 329,128.31 = 329,128.31 : x
  2. Step 2: Convert to fraction form
    214,842.38/329,128.31 = 329,128.31/x
  3. Step 3: Cross multiply
    214,842.38x = 329,128.31 × 329,128.31
  4. Step 4: Simplify right side
    214,842.38x = 108,325,446,089.10
  5. Step 5: Solve for x
    x = 108,325,446,089.10/214,842.38
  6. Step 6: Final answer
    x = 504,208.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.