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Finding the Third Proportional to 177,430.50 and 394,213.50

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Solution

The third proportional to 177,430.50 and 394,213.50 is: 875,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,430.50 : 394,213.50 = 394,213.50 : x
  2. Step 2: Convert to fraction form
    177,430.50/394,213.50 = 394,213.50/x
  3. Step 3: Cross multiply
    177,430.50x = 394,213.50 × 394,213.50
  4. Step 4: Simplify right side
    177,430.50x = 155,404,283,582.25
  5. Step 5: Solve for x
    x = 155,404,283,582.25/177,430.50
  6. Step 6: Final answer
    x = 875,860.03

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.