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Finding the Third Proportional to 180,028.50 and 391,797

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Solution

The third proportional to 180,028.50 and 391,797 is: 852,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,028.50 : 391,797 = 391,797 : x
  2. Step 2: Convert to fraction form
    180,028.50/391,797 = 391,797/x
  3. Step 3: Cross multiply
    180,028.50x = 391,797 × 391,797
  4. Step 4: Simplify right side
    180,028.50x = 153,504,889,209
  5. Step 5: Solve for x
    x = 153,504,889,209/180,028.50
  6. Step 6: Final answer
    x = 852,669.93

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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.