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Finding the Third Proportional to 128,823 and 275,337

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Solution

The third proportional to 128,823 and 275,337 is: 588,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,823 : 275,337 = 275,337 : x
  2. Step 2: Convert to fraction form
    128,823/275,337 = 275,337/x
  3. Step 3: Cross multiply
    128,823x = 275,337 × 275,337
  4. Step 4: Simplify right side
    128,823x = 75,810,463,569
  5. Step 5: Solve for x
    x = 75,810,463,569/128,823
  6. Step 6: Final answer
    x = 588,485.47

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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.