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Finding the Third Proportional to 179,850 and 393,964

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Solution

The third proportional to 179,850 and 393,964 is: 862,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,850 : 393,964 = 393,964 : x
  2. Step 2: Convert to fraction form
    179,850/393,964 = 393,964/x
  3. Step 3: Cross multiply
    179,850x = 393,964 × 393,964
  4. Step 4: Simplify right side
    179,850x = 155,207,633,296
  5. Step 5: Solve for x
    x = 155,207,633,296/179,850
  6. Step 6: Final answer
    x = 862,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.