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Finding the Third Proportional to 131,541 and 284,100.75

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Solution

The third proportional to 131,541 and 284,100.75 is: 613,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,541 : 284,100.75 = 284,100.75 : x
  2. Step 2: Convert to fraction form
    131,541/284,100.75 = 284,100.75/x
  3. Step 3: Cross multiply
    131,541x = 284,100.75 × 284,100.75
  4. Step 4: Simplify right side
    131,541x = 80,713,236,150.56
  5. Step 5: Solve for x
    x = 80,713,236,150.56/131,541
  6. Step 6: Final answer
    x = 613,597.56

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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.