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Finding the Third Proportional to 84,288 and 180,144

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Solution

The third proportional to 84,288 and 180,144 is: 385,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,288 : 180,144 = 180,144 : x
  2. Step 2: Convert to fraction form
    84,288/180,144 = 180,144/x
  3. Step 3: Cross multiply
    84,288x = 180,144 × 180,144
  4. Step 4: Simplify right side
    84,288x = 32,451,860,736
  5. Step 5: Solve for x
    x = 32,451,860,736/84,288
  6. Step 6: Final answer
    x = 385,011.64

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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.