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Finding the Third Proportional to 133,066 and 211,835

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Solution

The third proportional to 133,066 and 211,835 is: 337,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066 : 211,835 = 211,835 : x
  2. Step 2: Convert to fraction form
    133,066/211,835 = 211,835/x
  3. Step 3: Cross multiply
    133,066x = 211,835 × 211,835
  4. Step 4: Simplify right side
    133,066x = 44,874,067,225
  5. Step 5: Solve for x
    x = 44,874,067,225/133,066
  6. Step 6: Final answer
    x = 337,231.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.