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Finding the Third Proportional to 152,016.75 and 200,090.25

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Solution

The third proportional to 152,016.75 and 200,090.25 is: 263,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,016.75 : 200,090.25 = 200,090.25 : x
  2. Step 2: Convert to fraction form
    152,016.75/200,090.25 = 200,090.25/x
  3. Step 3: Cross multiply
    152,016.75x = 200,090.25 × 200,090.25
  4. Step 4: Simplify right side
    152,016.75x = 40,036,108,145.06
  5. Step 5: Solve for x
    x = 40,036,108,145.06/152,016.75
  6. Step 6: Final answer
    x = 263,366.43

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.