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Finding the Third Proportional to 206,681.25 and 442,887.75

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Solution

The third proportional to 206,681.25 and 442,887.75 is: 949,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,681.25 : 442,887.75 = 442,887.75 : x
  2. Step 2: Convert to fraction form
    206,681.25/442,887.75 = 442,887.75/x
  3. Step 3: Cross multiply
    206,681.25x = 442,887.75 × 442,887.75
  4. Step 4: Simplify right side
    206,681.25x = 196,149,559,100.06
  5. Step 5: Solve for x
    x = 196,149,559,100.06/206,681.25
  6. Step 6: Final answer
    x = 949,043.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.