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Finding the Third Proportional to 183,186.56 and 398,631.38

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Solution

The third proportional to 183,186.56 and 398,631.38 is: 867,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,186.56 : 398,631.38 = 398,631.38 : x
  2. Step 2: Convert to fraction form
    183,186.56/398,631.38 = 398,631.38/x
  3. Step 3: Cross multiply
    183,186.56x = 398,631.38 × 398,631.38
  4. Step 4: Simplify right side
    183,186.56x = 158,906,973,134.39
  5. Step 5: Solve for x
    x = 158,906,973,134.39/183,186.56
  6. Step 6: Final answer
    x = 867,459.77

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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.