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Finding the Third Proportional to 189,685.13 and 396,905.06

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Solution

The third proportional to 189,685.13 and 396,905.06 is: 830,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,685.13 : 396,905.06 = 396,905.06 : x
  2. Step 2: Convert to fraction form
    189,685.13/396,905.06 = 396,905.06/x
  3. Step 3: Cross multiply
    189,685.13x = 396,905.06 × 396,905.06
  4. Step 4: Simplify right side
    189,685.13x = 157,533,628,638.13
  5. Step 5: Solve for x
    x = 157,533,628,638.13/189,685.13
  6. Step 6: Final answer
    x = 830,500.70

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.