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Finding the Third Proportional to 181,845 and 244,609.50

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Solution

The third proportional to 181,845 and 244,609.50 is: 329,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,845 : 244,609.50 = 244,609.50 : x
  2. Step 2: Convert to fraction form
    181,845/244,609.50 = 244,609.50/x
  3. Step 3: Cross multiply
    181,845x = 244,609.50 × 244,609.50
  4. Step 4: Simplify right side
    181,845x = 59,833,807,490.25
  5. Step 5: Solve for x
    x = 59,833,807,490.25/181,845
  6. Step 6: Final answer
    x = 329,037.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.