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Finding the Third Proportional to 133,596 and 213,030

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Solution

The third proportional to 133,596 and 213,030 is: 339,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596 : 213,030 = 213,030 : x
  2. Step 2: Convert to fraction form
    133,596/213,030 = 213,030/x
  3. Step 3: Cross multiply
    133,596x = 213,030 × 213,030
  4. Step 4: Simplify right side
    133,596x = 45,381,780,900
  5. Step 5: Solve for x
    x = 45,381,780,900/133,596
  6. Step 6: Final answer
    x = 339,694.16

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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.