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Finding the Third Proportional to 183,885.19 and 281,176.31

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Solution

The third proportional to 183,885.19 and 281,176.31 is: 429,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,885.19 : 281,176.31 = 281,176.31 : x
  2. Step 2: Convert to fraction form
    183,885.19/281,176.31 = 281,176.31/x
  3. Step 3: Cross multiply
    183,885.19x = 281,176.31 × 281,176.31
  4. Step 4: Simplify right side
    183,885.19x = 79,060,118,711.10
  5. Step 5: Solve for x
    x = 79,060,118,711.10/183,885.19
  6. Step 6: Final answer
    x = 429,942.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.