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Finding the Third Proportional to 170,396 and 351,716

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Solution

The third proportional to 170,396 and 351,716 is: 725,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,396 : 351,716 = 351,716 : x
  2. Step 2: Convert to fraction form
    170,396/351,716 = 351,716/x
  3. Step 3: Cross multiply
    170,396x = 351,716 × 351,716
  4. Step 4: Simplify right side
    170,396x = 123,704,144,656
  5. Step 5: Solve for x
    x = 123,704,144,656/170,396
  6. Step 6: Final answer
    x = 725,980.33

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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.