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Finding the Third Proportional to 133,538.63 and 284,451.75

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Solution

The third proportional to 133,538.63 and 284,451.75 is: 605,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,538.63 : 284,451.75 = 284,451.75 : x
  2. Step 2: Convert to fraction form
    133,538.63/284,451.75 = 284,451.75/x
  3. Step 3: Cross multiply
    133,538.63x = 284,451.75 × 284,451.75
  4. Step 4: Simplify right side
    133,538.63x = 80,912,798,078.06
  5. Step 5: Solve for x
    x = 80,912,798,078.06/133,538.63
  6. Step 6: Final answer
    x = 605,913.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.