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Finding the Third Proportional to 107,372.25 and 233,199

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Solution

The third proportional to 107,372.25 and 233,199 is: 506,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,372.25 : 233,199 = 233,199 : x
  2. Step 2: Convert to fraction form
    107,372.25/233,199 = 233,199/x
  3. Step 3: Cross multiply
    107,372.25x = 233,199 × 233,199
  4. Step 4: Simplify right side
    107,372.25x = 54,381,773,601
  5. Step 5: Solve for x
    x = 54,381,773,601/107,372.25
  6. Step 6: Final answer
    x = 506,478.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.