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Finding the Third Proportional to 133,958 and 209,033

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Solution

The third proportional to 133,958 and 209,033 is: 326,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,958 : 209,033 = 209,033 : x
  2. Step 2: Convert to fraction form
    133,958/209,033 = 209,033/x
  3. Step 3: Cross multiply
    133,958x = 209,033 × 209,033
  4. Step 4: Simplify right side
    133,958x = 43,694,795,089
  5. Step 5: Solve for x
    x = 43,694,795,089/133,958
  6. Step 6: Final answer
    x = 326,182.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.