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Finding the Third Proportional to 170,442 and 374,796

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Solution

The third proportional to 170,442 and 374,796 is: 824,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,442 : 374,796 = 374,796 : x
  2. Step 2: Convert to fraction form
    170,442/374,796 = 374,796/x
  3. Step 3: Cross multiply
    170,442x = 374,796 × 374,796
  4. Step 4: Simplify right side
    170,442x = 140,472,041,616
  5. Step 5: Solve for x
    x = 140,472,041,616/170,442
  6. Step 6: Final answer
    x = 824,163.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.