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Finding the Third Proportional to 180,996 and 386,028

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Solution

The third proportional to 180,996 and 386,028 is: 823,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,996 : 386,028 = 386,028 : x
  2. Step 2: Convert to fraction form
    180,996/386,028 = 386,028/x
  3. Step 3: Cross multiply
    180,996x = 386,028 × 386,028
  4. Step 4: Simplify right side
    180,996x = 149,017,616,784
  5. Step 5: Solve for x
    x = 149,017,616,784/180,996
  6. Step 6: Final answer
    x = 823,319.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.