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Finding the Third Proportional to 84,645 and 180,252

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Solution

The third proportional to 84,645 and 180,252 is: 383,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645 : 180,252 = 180,252 : x
  2. Step 2: Convert to fraction form
    84,645/180,252 = 180,252/x
  3. Step 3: Cross multiply
    84,645x = 180,252 × 180,252
  4. Step 4: Simplify right side
    84,645x = 32,490,783,504
  5. Step 5: Solve for x
    x = 32,490,783,504/84,645
  6. Step 6: Final answer
    x = 383,847.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.