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Finding the Third Proportional to 133,208.50 and 290,825

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Solution

The third proportional to 133,208.50 and 290,825 is: 634,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,208.50 : 290,825 = 290,825 : x
  2. Step 2: Convert to fraction form
    133,208.50/290,825 = 290,825/x
  3. Step 3: Cross multiply
    133,208.50x = 290,825 × 290,825
  4. Step 4: Simplify right side
    133,208.50x = 84,579,180,625
  5. Step 5: Solve for x
    x = 84,579,180,625/133,208.50
  6. Step 6: Final answer
    x = 634,938.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.