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Finding the Third Proportional to 84,263 and 180,028

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Solution

The third proportional to 84,263 and 180,028 is: 384,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,263 : 180,028 = 180,028 : x
  2. Step 2: Convert to fraction form
    84,263/180,028 = 180,028/x
  3. Step 3: Cross multiply
    84,263x = 180,028 × 180,028
  4. Step 4: Simplify right side
    84,263x = 32,410,080,784
  5. Step 5: Solve for x
    x = 32,410,080,784/84,263
  6. Step 6: Final answer
    x = 384,630.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.