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Finding the Third Proportional to 183,840 and 281,104.50

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Solution

The third proportional to 183,840 and 281,104.50 is: 429,828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,840 : 281,104.50 = 281,104.50 : x
  2. Step 2: Convert to fraction form
    183,840/281,104.50 = 281,104.50/x
  3. Step 3: Cross multiply
    183,840x = 281,104.50 × 281,104.50
  4. Step 4: Simplify right side
    183,840x = 79,019,739,920.25
  5. Step 5: Solve for x
    x = 79,019,739,920.25/183,840
  6. Step 6: Final answer
    x = 429,828.87

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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.