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Finding the Third Proportional to 180,825 and 393,786

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Solution

The third proportional to 180,825 and 393,786 is: 857,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,825 : 393,786 = 393,786 : x
  2. Step 2: Convert to fraction form
    180,825/393,786 = 393,786/x
  3. Step 3: Cross multiply
    180,825x = 393,786 × 393,786
  4. Step 4: Simplify right side
    180,825x = 155,067,413,796
  5. Step 5: Solve for x
    x = 155,067,413,796/180,825
  6. Step 6: Final answer
    x = 857,555.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.