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Finding the Third Proportional to 107,906 and 237,224

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Solution

The third proportional to 107,906 and 237,224 is: 521,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,906 : 237,224 = 237,224 : x
  2. Step 2: Convert to fraction form
    107,906/237,224 = 237,224/x
  3. Step 3: Cross multiply
    107,906x = 237,224 × 237,224
  4. Step 4: Simplify right side
    107,906x = 56,275,226,176
  5. Step 5: Solve for x
    x = 56,275,226,176/107,906
  6. Step 6: Final answer
    x = 521,520.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.