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Finding the Third Proportional to 174,827 and 383,017

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Solution

The third proportional to 174,827 and 383,017 is: 839,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,827 : 383,017 = 383,017 : x
  2. Step 2: Convert to fraction form
    174,827/383,017 = 383,017/x
  3. Step 3: Cross multiply
    174,827x = 383,017 × 383,017
  4. Step 4: Simplify right side
    174,827x = 146,702,022,289
  5. Step 5: Solve for x
    x = 146,702,022,289/174,827
  6. Step 6: Final answer
    x = 839,126.81

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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.