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Finding the Third Proportional to 183,626 and 389,304

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Solution

The third proportional to 183,626 and 389,304 is: 825,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,626 : 389,304 = 389,304 : x
  2. Step 2: Convert to fraction form
    183,626/389,304 = 389,304/x
  3. Step 3: Cross multiply
    183,626x = 389,304 × 389,304
  4. Step 4: Simplify right side
    183,626x = 151,557,604,416
  5. Step 5: Solve for x
    x = 151,557,604,416/183,626
  6. Step 6: Final answer
    x = 825,360.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.