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Finding the Third Proportional to 181,359 and 394,833

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Solution

The third proportional to 181,359 and 394,833 is: 859,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,359 : 394,833 = 394,833 : x
  2. Step 2: Convert to fraction form
    181,359/394,833 = 394,833/x
  3. Step 3: Cross multiply
    181,359x = 394,833 × 394,833
  4. Step 4: Simplify right side
    181,359x = 155,893,097,889
  5. Step 5: Solve for x
    x = 155,893,097,889/181,359
  6. Step 6: Final answer
    x = 859,582.92

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Why These Related Problems?

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