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Finding the Third Proportional to 157,985.44 and 329,097.94

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Solution

The third proportional to 157,985.44 and 329,097.94 is: 685,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,985.44 : 329,097.94 = 329,097.94 : x
  2. Step 2: Convert to fraction form
    157,985.44/329,097.94 = 329,097.94/x
  3. Step 3: Cross multiply
    157,985.44x = 329,097.94 × 329,097.94
  4. Step 4: Simplify right side
    157,985.44x = 108,305,452,466.75
  5. Step 5: Solve for x
    x = 108,305,452,466.75/157,985.44
  6. Step 6: Final answer
    x = 685,540.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.