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Finding the Third Proportional to 132,801 and 287,728

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Solution

The third proportional to 132,801 and 287,728 is: 623,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,801 : 287,728 = 287,728 : x
  2. Step 2: Convert to fraction form
    132,801/287,728 = 287,728/x
  3. Step 3: Cross multiply
    132,801x = 287,728 × 287,728
  4. Step 4: Simplify right side
    132,801x = 82,787,401,984
  5. Step 5: Solve for x
    x = 82,787,401,984/132,801
  6. Step 6: Final answer
    x = 623,394.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.