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Finding the Third Proportional to 118,192.50 and 259,333.50

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Solution

The third proportional to 118,192.50 and 259,333.50 is: 569,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,192.50 : 259,333.50 = 259,333.50 : x
  2. Step 2: Convert to fraction form
    118,192.50/259,333.50 = 259,333.50/x
  3. Step 3: Cross multiply
    118,192.50x = 259,333.50 × 259,333.50
  4. Step 4: Simplify right side
    118,192.50x = 67,253,864,222.25
  5. Step 5: Solve for x
    x = 67,253,864,222.25/118,192.50
  6. Step 6: Final answer
    x = 569,019.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.