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Finding the Third Proportional to 179,626 and 383,644

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Solution

The third proportional to 179,626 and 383,644 is: 819,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,626 : 383,644 = 383,644 : x
  2. Step 2: Convert to fraction form
    179,626/383,644 = 383,644/x
  3. Step 3: Cross multiply
    179,626x = 383,644 × 383,644
  4. Step 4: Simplify right side
    179,626x = 147,182,718,736
  5. Step 5: Solve for x
    x = 147,182,718,736/179,626
  6. Step 6: Final answer
    x = 819,384.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.