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Finding the Third Proportional to 170,973 and 374,751

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Solution

The third proportional to 170,973 and 374,751 is: 821,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,973 : 374,751 = 374,751 : x
  2. Step 2: Convert to fraction form
    170,973/374,751 = 374,751/x
  3. Step 3: Cross multiply
    170,973x = 374,751 × 374,751
  4. Step 4: Simplify right side
    170,973x = 140,438,312,001
  5. Step 5: Solve for x
    x = 140,438,312,001/170,973
  6. Step 6: Final answer
    x = 821,406.37

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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.