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Finding the Third Proportional to 161,728 and 233,164

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Solution

The third proportional to 161,728 and 233,164 is: 336,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,728 : 233,164 = 233,164 : x
  2. Step 2: Convert to fraction form
    161,728/233,164 = 233,164/x
  3. Step 3: Cross multiply
    161,728x = 233,164 × 233,164
  4. Step 4: Simplify right side
    161,728x = 54,365,450,896
  5. Step 5: Solve for x
    x = 54,365,450,896/161,728
  6. Step 6: Final answer
    x = 336,153.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.