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Finding the Third Proportional to 155,144 and 337,936

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Solution

The third proportional to 155,144 and 337,936 is: 736,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,144 : 337,936 = 337,936 : x
  2. Step 2: Convert to fraction form
    155,144/337,936 = 337,936/x
  3. Step 3: Cross multiply
    155,144x = 337,936 × 337,936
  4. Step 4: Simplify right side
    155,144x = 114,200,740,096
  5. Step 5: Solve for x
    x = 114,200,740,096/155,144
  6. Step 6: Final answer
    x = 736,095.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.