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Finding the Third Proportional to 114,741 and 251,644.50

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Solution

The third proportional to 114,741 and 251,644.50 is: 551,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,741 : 251,644.50 = 251,644.50 : x
  2. Step 2: Convert to fraction form
    114,741/251,644.50 = 251,644.50/x
  3. Step 3: Cross multiply
    114,741x = 251,644.50 × 251,644.50
  4. Step 4: Simplify right side
    114,741x = 63,324,954,380.25
  5. Step 5: Solve for x
    x = 63,324,954,380.25/114,741
  6. Step 6: Final answer
    x = 551,894.74

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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.