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Finding the Third Proportional to 191,215.69 and 281,257.31

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Solution

The third proportional to 191,215.69 and 281,257.31 is: 413,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,215.69 : 281,257.31 = 281,257.31 : x
  2. Step 2: Convert to fraction form
    191,215.69/281,257.31 = 281,257.31/x
  3. Step 3: Cross multiply
    191,215.69x = 281,257.31 × 281,257.31
  4. Step 4: Simplify right side
    191,215.69x = 79,105,675,834.72
  5. Step 5: Solve for x
    x = 79,105,675,834.72/191,215.69
  6. Step 6: Final answer
    x = 413,698.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.