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Finding the Third Proportional to 185,807.75 and 407,113.75

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Solution

The third proportional to 185,807.75 and 407,113.75 is: 892,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,807.75 : 407,113.75 = 407,113.75 : x
  2. Step 2: Convert to fraction form
    185,807.75/407,113.75 = 407,113.75/x
  3. Step 3: Cross multiply
    185,807.75x = 407,113.75 × 407,113.75
  4. Step 4: Simplify right side
    185,807.75x = 165,741,605,439.06
  5. Step 5: Solve for x
    x = 165,741,605,439.06/185,807.75
  6. Step 6: Final answer
    x = 892,005.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.