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Finding the Third Proportional to 138,540.38 and 202,874.63

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Solution

The third proportional to 138,540.38 and 202,874.63 is: 297,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540.38 : 202,874.63 = 202,874.63 : x
  2. Step 2: Convert to fraction form
    138,540.38/202,874.63 = 202,874.63/x
  3. Step 3: Cross multiply
    138,540.38x = 202,874.63 × 202,874.63
  4. Step 4: Simplify right side
    138,540.38x = 41,158,113,468.89
  5. Step 5: Solve for x
    x = 41,158,113,468.89/138,540.38
  6. Step 6: Final answer
    x = 297,083.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.