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Finding the Third Proportional to 129,808.50 and 281,760

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Solution

The third proportional to 129,808.50 and 281,760 is: 611,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,808.50 : 281,760 = 281,760 : x
  2. Step 2: Convert to fraction form
    129,808.50/281,760 = 281,760/x
  3. Step 3: Cross multiply
    129,808.50x = 281,760 × 281,760
  4. Step 4: Simplify right side
    129,808.50x = 79,388,697,600
  5. Step 5: Solve for x
    x = 79,388,697,600/129,808.50
  6. Step 6: Final answer
    x = 611,583.20

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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.