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Finding the Third Proportional to 133,624 and 214,917

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Solution

The third proportional to 133,624 and 214,917 is: 345,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,624 : 214,917 = 214,917 : x
  2. Step 2: Convert to fraction form
    133,624/214,917 = 214,917/x
  3. Step 3: Cross multiply
    133,624x = 214,917 × 214,917
  4. Step 4: Simplify right side
    133,624x = 46,189,316,889
  5. Step 5: Solve for x
    x = 46,189,316,889/133,624
  6. Step 6: Final answer
    x = 345,666.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.