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Finding the Third Proportional to 116,770 and 180,622

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Solution

The third proportional to 116,770 and 180,622 is: 279,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,770 : 180,622 = 180,622 : x
  2. Step 2: Convert to fraction form
    116,770/180,622 = 180,622/x
  3. Step 3: Cross multiply
    116,770x = 180,622 × 180,622
  4. Step 4: Simplify right side
    116,770x = 32,624,306,884
  5. Step 5: Solve for x
    x = 32,624,306,884/116,770
  6. Step 6: Final answer
    x = 279,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.