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Finding the Third Proportional to 131,548.50 and 284,112

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Solution

The third proportional to 131,548.50 and 284,112 is: 613,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,548.50 : 284,112 = 284,112 : x
  2. Step 2: Convert to fraction form
    131,548.50/284,112 = 284,112/x
  3. Step 3: Cross multiply
    131,548.50x = 284,112 × 284,112
  4. Step 4: Simplify right side
    131,548.50x = 80,719,628,544
  5. Step 5: Solve for x
    x = 80,719,628,544/131,548.50
  6. Step 6: Final answer
    x = 613,611.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.