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Finding the Third Proportional to 192,853.50 and 281,740.50

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Solution

The third proportional to 192,853.50 and 281,740.50 is: 411,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,853.50 : 281,740.50 = 281,740.50 : x
  2. Step 2: Convert to fraction form
    192,853.50/281,740.50 = 281,740.50/x
  3. Step 3: Cross multiply
    192,853.50x = 281,740.50 × 281,740.50
  4. Step 4: Simplify right side
    192,853.50x = 79,377,709,340.25
  5. Step 5: Solve for x
    x = 79,377,709,340.25/192,853.50
  6. Step 6: Final answer
    x = 411,595.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.