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Finding the Third Proportional to 174,825 and 383,013

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Solution

The third proportional to 174,825 and 383,013 is: 839,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,825 : 383,013 = 383,013 : x
  2. Step 2: Convert to fraction form
    174,825/383,013 = 383,013/x
  3. Step 3: Cross multiply
    174,825x = 383,013 × 383,013
  4. Step 4: Simplify right side
    174,825x = 146,698,958,169
  5. Step 5: Solve for x
    x = 146,698,958,169/174,825
  6. Step 6: Final answer
    x = 839,118.88

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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.