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Finding the Third Proportional to 117,066.50 and 251,905.50

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Solution

The third proportional to 117,066.50 and 251,905.50 is: 542,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,066.50 : 251,905.50 = 251,905.50 : x
  2. Step 2: Convert to fraction form
    117,066.50/251,905.50 = 251,905.50/x
  3. Step 3: Cross multiply
    117,066.50x = 251,905.50 × 251,905.50
  4. Step 4: Simplify right side
    117,066.50x = 63,456,380,930.25
  5. Step 5: Solve for x
    x = 63,456,380,930.25/117,066.50
  6. Step 6: Final answer
    x = 542,054.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.