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Finding the Third Proportional to 170,881 and 374,669

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Solution

The third proportional to 170,881 and 374,669 is: 821,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,881 : 374,669 = 374,669 : x
  2. Step 2: Convert to fraction form
    170,881/374,669 = 374,669/x
  3. Step 3: Cross multiply
    170,881x = 374,669 × 374,669
  4. Step 4: Simplify right side
    170,881x = 140,376,859,561
  5. Step 5: Solve for x
    x = 140,376,859,561/170,881
  6. Step 6: Final answer
    x = 821,488.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.