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Finding the Third Proportional to 132,991.50 and 284,667

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Solution

The third proportional to 132,991.50 and 284,667 is: 609,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,991.50 : 284,667 = 284,667 : x
  2. Step 2: Convert to fraction form
    132,991.50/284,667 = 284,667/x
  3. Step 3: Cross multiply
    132,991.50x = 284,667 × 284,667
  4. Step 4: Simplify right side
    132,991.50x = 81,035,300,889
  5. Step 5: Solve for x
    x = 81,035,300,889/132,991.50
  6. Step 6: Final answer
    x = 609,326.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.