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Finding the Third Proportional to 133,483 and 206,615

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Solution

The third proportional to 133,483 and 206,615 is: 319,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,483 : 206,615 = 206,615 : x
  2. Step 2: Convert to fraction form
    133,483/206,615 = 206,615/x
  3. Step 3: Cross multiply
    133,483x = 206,615 × 206,615
  4. Step 4: Simplify right side
    133,483x = 42,689,758,225
  5. Step 5: Solve for x
    x = 42,689,758,225/133,483
  6. Step 6: Final answer
    x = 319,814.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.