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Finding the Third Proportional to 135,964 and 206,588

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Solution

The third proportional to 135,964 and 206,588 is: 313,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964 : 206,588 = 206,588 : x
  2. Step 2: Convert to fraction form
    135,964/206,588 = 206,588/x
  3. Step 3: Cross multiply
    135,964x = 206,588 × 206,588
  4. Step 4: Simplify right side
    135,964x = 42,678,601,744
  5. Step 5: Solve for x
    x = 42,678,601,744/135,964
  6. Step 6: Final answer
    x = 313,896.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.