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Finding the Third Proportional to 170,320 and 351,573

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Solution

The third proportional to 170,320 and 351,573 is: 725,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,320 : 351,573 = 351,573 : x
  2. Step 2: Convert to fraction form
    170,320/351,573 = 351,573/x
  3. Step 3: Cross multiply
    170,320x = 351,573 × 351,573
  4. Step 4: Simplify right side
    170,320x = 123,603,574,329
  5. Step 5: Solve for x
    x = 123,603,574,329/170,320
  6. Step 6: Final answer
    x = 725,713.80

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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.