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Finding the Third Proportional to 170,394 and 351,713

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Solution

The third proportional to 170,394 and 351,713 is: 725,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,394 : 351,713 = 351,713 : x
  2. Step 2: Convert to fraction form
    170,394/351,713 = 351,713/x
  3. Step 3: Cross multiply
    170,394x = 351,713 × 351,713
  4. Step 4: Simplify right side
    170,394x = 123,702,034,369
  5. Step 5: Solve for x
    x = 123,702,034,369/170,394
  6. Step 6: Final answer
    x = 725,976.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.