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Finding the Third Proportional to 132,354 and 285,849

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Solution

The third proportional to 132,354 and 285,849 is: 617,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,354 : 285,849 = 285,849 : x
  2. Step 2: Convert to fraction form
    132,354/285,849 = 285,849/x
  3. Step 3: Cross multiply
    132,354x = 285,849 × 285,849
  4. Step 4: Simplify right side
    132,354x = 81,709,650,801
  5. Step 5: Solve for x
    x = 81,709,650,801/132,354
  6. Step 6: Final answer
    x = 617,356.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.