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Finding the Third Proportional to 114,801 and 251,755.50

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Solution

The third proportional to 114,801 and 251,755.50 is: 552,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,801 : 251,755.50 = 251,755.50 : x
  2. Step 2: Convert to fraction form
    114,801/251,755.50 = 251,755.50/x
  3. Step 3: Cross multiply
    114,801x = 251,755.50 × 251,755.50
  4. Step 4: Simplify right side
    114,801x = 63,380,831,780.25
  5. Step 5: Solve for x
    x = 63,380,831,780.25/114,801
  6. Step 6: Final answer
    x = 552,093.03

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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.