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Finding the Third Proportional to 133,860 and 215,262

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Solution

The third proportional to 133,860 and 215,262 is: 346,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,860 : 215,262 = 215,262 : x
  2. Step 2: Convert to fraction form
    133,860/215,262 = 215,262/x
  3. Step 3: Cross multiply
    133,860x = 215,262 × 215,262
  4. Step 4: Simplify right side
    133,860x = 46,337,728,644
  5. Step 5: Solve for x
    x = 46,337,728,644/133,860
  6. Step 6: Final answer
    x = 346,165.61

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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.