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Finding the Third Proportional to 172,238.63 and 244,962

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Solution

The third proportional to 172,238.63 and 244,962 is: 348,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,238.63 : 244,962 = 244,962 : x
  2. Step 2: Convert to fraction form
    172,238.63/244,962 = 244,962/x
  3. Step 3: Cross multiply
    172,238.63x = 244,962 × 244,962
  4. Step 4: Simplify right side
    172,238.63x = 60,006,381,444
  5. Step 5: Solve for x
    x = 60,006,381,444/172,238.63
  6. Step 6: Final answer
    x = 348,390.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.