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Finding the Third Proportional to 140,080 and 323,956

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Solution

The third proportional to 140,080 and 323,956 is: 749,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080 : 323,956 = 323,956 : x
  2. Step 2: Convert to fraction form
    140,080/323,956 = 323,956/x
  3. Step 3: Cross multiply
    140,080x = 323,956 × 323,956
  4. Step 4: Simplify right side
    140,080x = 104,947,489,936
  5. Step 5: Solve for x
    x = 104,947,489,936/140,080
  6. Step 6: Final answer
    x = 749,196.82

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.