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Finding the Third Proportional to 181,069 and 281,956.50

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Solution

The third proportional to 181,069 and 281,956.50 is: 439,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,069 : 281,956.50 = 281,956.50 : x
  2. Step 2: Convert to fraction form
    181,069/281,956.50 = 281,956.50/x
  3. Step 3: Cross multiply
    181,069x = 281,956.50 × 281,956.50
  4. Step 4: Simplify right side
    181,069x = 79,499,467,892.25
  5. Step 5: Solve for x
    x = 79,499,467,892.25/181,069
  6. Step 6: Final answer
    x = 439,056.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.