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Finding the Third Proportional to 157,243 and 332,234

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Solution

The third proportional to 157,243 and 332,234 is: 701,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,243 : 332,234 = 332,234 : x
  2. Step 2: Convert to fraction form
    157,243/332,234 = 332,234/x
  3. Step 3: Cross multiply
    157,243x = 332,234 × 332,234
  4. Step 4: Simplify right side
    157,243x = 110,379,430,756
  5. Step 5: Solve for x
    x = 110,379,430,756/157,243
  6. Step 6: Final answer
    x = 701,967.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.