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Finding the Third Proportional to 84,847.50 and 180,346.50

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Solution

The third proportional to 84,847.50 and 180,346.50 is: 383,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,847.50 : 180,346.50 = 180,346.50 : x
  2. Step 2: Convert to fraction form
    84,847.50/180,346.50 = 180,346.50/x
  3. Step 3: Cross multiply
    84,847.50x = 180,346.50 × 180,346.50
  4. Step 4: Simplify right side
    84,847.50x = 32,524,860,062.25
  5. Step 5: Solve for x
    x = 32,524,860,062.25/84,847.50
  6. Step 6: Final answer
    x = 383,333.16

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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.