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Finding the Third Proportional to 179,363 and 393,714

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Solution

The third proportional to 179,363 and 393,714 is: 864,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,363 : 393,714 = 393,714 : x
  2. Step 2: Convert to fraction form
    179,363/393,714 = 393,714/x
  3. Step 3: Cross multiply
    179,363x = 393,714 × 393,714
  4. Step 4: Simplify right side
    179,363x = 155,010,713,796
  5. Step 5: Solve for x
    x = 155,010,713,796/179,363
  6. Step 6: Final answer
    x = 864,229.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.