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Finding the Third Proportional to 180,261 and 384,651

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Solution

The third proportional to 180,261 and 384,651 is: 820,789.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,261 : 384,651 = 384,651 : x
  2. Step 2: Convert to fraction form
    180,261/384,651 = 384,651/x
  3. Step 3: Cross multiply
    180,261x = 384,651 × 384,651
  4. Step 4: Simplify right side
    180,261x = 147,956,391,801
  5. Step 5: Solve for x
    x = 147,956,391,801/180,261
  6. Step 6: Final answer
    x = 820,789.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.