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Finding the Third Proportional to 187,930.13 and 394,313.06

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Solution

The third proportional to 187,930.13 and 394,313.06 is: 827,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,930.13 : 394,313.06 = 394,313.06 : x
  2. Step 2: Convert to fraction form
    187,930.13/394,313.06 = 394,313.06/x
  3. Step 3: Cross multiply
    187,930.13x = 394,313.06 × 394,313.06
  4. Step 4: Simplify right side
    187,930.13x = 155,482,791,258.13
  5. Step 5: Solve for x
    x = 155,482,791,258.13/187,930.13
  6. Step 6: Final answer
    x = 827,343.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.