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Finding the Third Proportional to 133,201.50 and 278,713.50

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Solution

The third proportional to 133,201.50 and 278,713.50 is: 583,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,201.50 : 278,713.50 = 278,713.50 : x
  2. Step 2: Convert to fraction form
    133,201.50/278,713.50 = 278,713.50/x
  3. Step 3: Cross multiply
    133,201.50x = 278,713.50 × 278,713.50
  4. Step 4: Simplify right side
    133,201.50x = 77,681,215,082.25
  5. Step 5: Solve for x
    x = 77,681,215,082.25/133,201.50
  6. Step 6: Final answer
    x = 583,185.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.