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Finding the Third Proportional to 133,516 and 270,716

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Solution

The third proportional to 133,516 and 270,716 is: 548,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,516 : 270,716 = 270,716 : x
  2. Step 2: Convert to fraction form
    133,516/270,716 = 270,716/x
  3. Step 3: Cross multiply
    133,516x = 270,716 × 270,716
  4. Step 4: Simplify right side
    133,516x = 73,287,152,656
  5. Step 5: Solve for x
    x = 73,287,152,656/133,516
  6. Step 6: Final answer
    x = 548,901.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.