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Finding the Third Proportional to 140,955 and 211,500

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Solution

The third proportional to 140,955 and 211,500 is: 317,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,955 : 211,500 = 211,500 : x
  2. Step 2: Convert to fraction form
    140,955/211,500 = 211,500/x
  3. Step 3: Cross multiply
    140,955x = 211,500 × 211,500
  4. Step 4: Simplify right side
    140,955x = 44,732,250,000
  5. Step 5: Solve for x
    x = 44,732,250,000/140,955
  6. Step 6: Final answer
    x = 317,351.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.