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Finding the Third Proportional to 116,713 and 180,245.50

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Solution

The third proportional to 116,713 and 180,245.50 is: 278,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,713 : 180,245.50 = 180,245.50 : x
  2. Step 2: Convert to fraction form
    116,713/180,245.50 = 180,245.50/x
  3. Step 3: Cross multiply
    116,713x = 180,245.50 × 180,245.50
  4. Step 4: Simplify right side
    116,713x = 32,488,440,270.25
  5. Step 5: Solve for x
    x = 32,488,440,270.25/116,713
  6. Step 6: Final answer
    x = 278,361.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.