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Finding the Third Proportional to 85,270 and 180,930

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Solution

The third proportional to 85,270 and 180,930 is: 383,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270 : 180,930 = 180,930 : x
  2. Step 2: Convert to fraction form
    85,270/180,930 = 180,930/x
  3. Step 3: Cross multiply
    85,270x = 180,930 × 180,930
  4. Step 4: Simplify right side
    85,270x = 32,735,664,900
  5. Step 5: Solve for x
    x = 32,735,664,900/85,270
  6. Step 6: Final answer
    x = 383,906.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.