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Finding the Third Proportional to 193,860 and 283,270.50

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Solution

The third proportional to 193,860 and 283,270.50 is: 413,918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,860 : 283,270.50 = 283,270.50 : x
  2. Step 2: Convert to fraction form
    193,860/283,270.50 = 283,270.50/x
  3. Step 3: Cross multiply
    193,860x = 283,270.50 × 283,270.50
  4. Step 4: Simplify right side
    193,860x = 80,242,176,170.25
  5. Step 5: Solve for x
    x = 80,242,176,170.25/193,860
  6. Step 6: Final answer
    x = 413,918.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.