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Finding the Third Proportional to 170,324 and 351,582

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Solution

The third proportional to 170,324 and 351,582 is: 725,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,324 : 351,582 = 351,582 : x
  2. Step 2: Convert to fraction form
    170,324/351,582 = 351,582/x
  3. Step 3: Cross multiply
    170,324x = 351,582 × 351,582
  4. Step 4: Simplify right side
    170,324x = 123,609,902,724
  5. Step 5: Solve for x
    x = 123,609,902,724/170,324
  6. Step 6: Final answer
    x = 725,733.91

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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.