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Finding the Third Proportional to 182,022 and 398,028

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Solution

The third proportional to 182,022 and 398,028 is: 870,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,022 : 398,028 = 398,028 : x
  2. Step 2: Convert to fraction form
    182,022/398,028 = 398,028/x
  3. Step 3: Cross multiply
    182,022x = 398,028 × 398,028
  4. Step 4: Simplify right side
    182,022x = 158,426,288,784
  5. Step 5: Solve for x
    x = 158,426,288,784/182,022
  6. Step 6: Final answer
    x = 870,368.90

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Why These Related Problems?

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