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Finding the Third Proportional to 84,270 and 180,933

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Solution

The third proportional to 84,270 and 180,933 is: 388,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,270 : 180,933 = 180,933 : x
  2. Step 2: Convert to fraction form
    84,270/180,933 = 180,933/x
  3. Step 3: Cross multiply
    84,270x = 180,933 × 180,933
  4. Step 4: Simplify right side
    84,270x = 32,736,750,489
  5. Step 5: Solve for x
    x = 32,736,750,489/84,270
  6. Step 6: Final answer
    x = 388,474.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.