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Finding the Third Proportional to 117,839.81 and 254,588.06

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Solution

The third proportional to 117,839.81 and 254,588.06 is: 550,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,839.81 : 254,588.06 = 254,588.06 : x
  2. Step 2: Convert to fraction form
    117,839.81/254,588.06 = 254,588.06/x
  3. Step 3: Cross multiply
    117,839.81x = 254,588.06 × 254,588.06
  4. Step 4: Simplify right side
    117,839.81x = 64,815,081,567.50
  5. Step 5: Solve for x
    x = 64,815,081,567.50/117,839.81
  6. Step 6: Final answer
    x = 550,027.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.