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Finding the Third Proportional to 140,853 and 211,239

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Solution

The third proportional to 140,853 and 211,239 is: 316,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,853 : 211,239 = 211,239 : x
  2. Step 2: Convert to fraction form
    140,853/211,239 = 211,239/x
  3. Step 3: Cross multiply
    140,853x = 211,239 × 211,239
  4. Step 4: Simplify right side
    140,853x = 44,621,915,121
  5. Step 5: Solve for x
    x = 44,621,915,121/140,853
  6. Step 6: Final answer
    x = 316,797.76

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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.