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Finding the Third Proportional to 181,170 and 393,558

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Solution

The third proportional to 181,170 and 393,558 is: 854,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,170 : 393,558 = 393,558 : x
  2. Step 2: Convert to fraction form
    181,170/393,558 = 393,558/x
  3. Step 3: Cross multiply
    181,170x = 393,558 × 393,558
  4. Step 4: Simplify right side
    181,170x = 154,887,899,364
  5. Step 5: Solve for x
    x = 154,887,899,364/181,170
  6. Step 6: Final answer
    x = 854,931.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.