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Finding the Third Proportional to 129,738 and 281,629.50

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Solution

The third proportional to 129,738 and 281,629.50 is: 611,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,738 : 281,629.50 = 281,629.50 : x
  2. Step 2: Convert to fraction form
    129,738/281,629.50 = 281,629.50/x
  3. Step 3: Cross multiply
    129,738x = 281,629.50 × 281,629.50
  4. Step 4: Simplify right side
    129,738x = 79,315,175,270.25
  5. Step 5: Solve for x
    x = 79,315,175,270.25/129,738
  6. Step 6: Final answer
    x = 611,348.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.