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Finding the Third Proportional to 116,899.75 and 253,725.50

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Solution

The third proportional to 116,899.75 and 253,725.50 is: 550,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,899.75 : 253,725.50 = 253,725.50 : x
  2. Step 2: Convert to fraction form
    116,899.75/253,725.50 = 253,725.50/x
  3. Step 3: Cross multiply
    116,899.75x = 253,725.50 × 253,725.50
  4. Step 4: Simplify right side
    116,899.75x = 64,376,629,350.25
  5. Step 5: Solve for x
    x = 64,376,629,350.25/116,899.75
  6. Step 6: Final answer
    x = 550,699.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.