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Finding the Third Proportional to 135,235 and 202,872

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Solution

The third proportional to 135,235 and 202,872 is: 304,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,235 : 202,872 = 202,872 : x
  2. Step 2: Convert to fraction form
    135,235/202,872 = 202,872/x
  3. Step 3: Cross multiply
    135,235x = 202,872 × 202,872
  4. Step 4: Simplify right side
    135,235x = 41,157,048,384
  5. Step 5: Solve for x
    x = 41,157,048,384/135,235
  6. Step 6: Final answer
    x = 304,337.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.