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Finding the Third Proportional to 116,149.50 and 254,443.50

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Solution

The third proportional to 116,149.50 and 254,443.50 is: 557,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,149.50 : 254,443.50 = 254,443.50 : x
  2. Step 2: Convert to fraction form
    116,149.50/254,443.50 = 254,443.50/x
  3. Step 3: Cross multiply
    116,149.50x = 254,443.50 × 254,443.50
  4. Step 4: Simplify right side
    116,149.50x = 64,741,494,692.25
  5. Step 5: Solve for x
    x = 64,741,494,692.25/116,149.50
  6. Step 6: Final answer
    x = 557,397.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.