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Finding the Third Proportional to 107,169.75 and 233,172

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Solution

The third proportional to 107,169.75 and 233,172 is: 507,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,169.75 : 233,172 = 233,172 : x
  2. Step 2: Convert to fraction form
    107,169.75/233,172 = 233,172/x
  3. Step 3: Cross multiply
    107,169.75x = 233,172 × 233,172
  4. Step 4: Simplify right side
    107,169.75x = 54,369,181,584
  5. Step 5: Solve for x
    x = 54,369,181,584/107,169.75
  6. Step 6: Final answer
    x = 507,318.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.