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Finding the Third Proportional to 84,291 and 180,150

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Solution

The third proportional to 84,291 and 180,150 is: 385,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291 : 180,150 = 180,150 : x
  2. Step 2: Convert to fraction form
    84,291/180,150 = 180,150/x
  3. Step 3: Cross multiply
    84,291x = 180,150 × 180,150
  4. Step 4: Simplify right side
    84,291x = 32,454,022,500
  5. Step 5: Solve for x
    x = 32,454,022,500/84,291
  6. Step 6: Final answer
    x = 385,023.58

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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.