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Finding the Third Proportional to 133,224.75 and 211,766.91

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Solution

The third proportional to 133,224.75 and 211,766.91 is: 336,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224.75 : 211,766.91 = 211,766.91 : x
  2. Step 2: Convert to fraction form
    133,224.75/211,766.91 = 211,766.91/x
  3. Step 3: Cross multiply
    133,224.75x = 211,766.91 × 211,766.91
  4. Step 4: Simplify right side
    133,224.75x = 44,845,222,582.70
  5. Step 5: Solve for x
    x = 44,845,222,582.70/133,224.75
  6. Step 6: Final answer
    x = 336,613.30

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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.