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Finding the Third Proportional to 272,756 and 366,899

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Solution

The third proportional to 272,756 and 366,899 is: 493,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,756 : 366,899 = 366,899 : x
  2. Step 2: Convert to fraction form
    272,756/366,899 = 366,899/x
  3. Step 3: Cross multiply
    272,756x = 366,899 × 366,899
  4. Step 4: Simplify right side
    272,756x = 134,614,876,201
  5. Step 5: Solve for x
    x = 134,614,876,201/272,756
  6. Step 6: Final answer
    x = 493,535.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.