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Finding the Third Proportional to 179,893 and 259,891.50

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Solution

The third proportional to 179,893 and 259,891.50 is: 375,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,893 : 259,891.50 = 259,891.50 : x
  2. Step 2: Convert to fraction form
    179,893/259,891.50 = 259,891.50/x
  3. Step 3: Cross multiply
    179,893x = 259,891.50 × 259,891.50
  4. Step 4: Simplify right side
    179,893x = 67,543,591,772.25
  5. Step 5: Solve for x
    x = 67,543,591,772.25/179,893
  6. Step 6: Final answer
    x = 375,465.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.