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Finding the Third Proportional to 203,807.25 and 293,559.75

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Solution

The third proportional to 203,807.25 and 293,559.75 is: 422,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,807.25 : 293,559.75 = 293,559.75 : x
  2. Step 2: Convert to fraction form
    203,807.25/293,559.75 = 293,559.75/x
  3. Step 3: Cross multiply
    203,807.25x = 293,559.75 × 293,559.75
  4. Step 4: Simplify right side
    203,807.25x = 86,177,326,820.06
  5. Step 5: Solve for x
    x = 86,177,326,820.06/203,807.25
  6. Step 6: Final answer
    x = 422,837.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.