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Finding the Third Proportional to 183,103.50 and 282,951

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Solution

The third proportional to 183,103.50 and 282,951 is: 437,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,103.50 : 282,951 = 282,951 : x
  2. Step 2: Convert to fraction form
    183,103.50/282,951 = 282,951/x
  3. Step 3: Cross multiply
    183,103.50x = 282,951 × 282,951
  4. Step 4: Simplify right side
    183,103.50x = 80,061,268,401
  5. Step 5: Solve for x
    x = 80,061,268,401/183,103.50
  6. Step 6: Final answer
    x = 437,245.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.