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Finding the Third Proportional to 155,364 and 331,064

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Solution

The third proportional to 155,364 and 331,064 is: 705,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,364 : 331,064 = 331,064 : x
  2. Step 2: Convert to fraction form
    155,364/331,064 = 331,064/x
  3. Step 3: Cross multiply
    155,364x = 331,064 × 331,064
  4. Step 4: Simplify right side
    155,364x = 109,603,372,096
  5. Step 5: Solve for x
    x = 109,603,372,096/155,364
  6. Step 6: Final answer
    x = 705,461.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.