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Finding the Third Proportional to 170,920.13 and 374,645.25

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Solution

The third proportional to 170,920.13 and 374,645.25 is: 821,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,920.13 : 374,645.25 = 374,645.25 : x
  2. Step 2: Convert to fraction form
    170,920.13/374,645.25 = 374,645.25/x
  3. Step 3: Cross multiply
    170,920.13x = 374,645.25 × 374,645.25
  4. Step 4: Simplify right side
    170,920.13x = 140,359,063,347.56
  5. Step 5: Solve for x
    x = 140,359,063,347.56/170,920.13
  6. Step 6: Final answer
    x = 821,196.82

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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.