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Finding the Third Proportional to 170,862.75 and 374,634

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Solution

The third proportional to 170,862.75 and 374,634 is: 821,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,862.75 : 374,634 = 374,634 : x
  2. Step 2: Convert to fraction form
    170,862.75/374,634 = 374,634/x
  3. Step 3: Cross multiply
    170,862.75x = 374,634 × 374,634
  4. Step 4: Simplify right side
    170,862.75x = 140,350,633,956
  5. Step 5: Solve for x
    x = 140,350,633,956/170,862.75
  6. Step 6: Final answer
    x = 821,423.24

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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.