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Finding the Third Proportional to 140,314 and 210,631

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Solution

The third proportional to 140,314 and 210,631 is: 316,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314 : 210,631 = 210,631 : x
  2. Step 2: Convert to fraction form
    140,314/210,631 = 210,631/x
  3. Step 3: Cross multiply
    140,314x = 210,631 × 210,631
  4. Step 4: Simplify right side
    140,314x = 44,365,418,161
  5. Step 5: Solve for x
    x = 44,365,418,161/140,314
  6. Step 6: Final answer
    x = 316,186.68

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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.