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Finding the Third Proportional to 170,877 and 374,661

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Solution

The third proportional to 170,877 and 374,661 is: 821,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,877 : 374,661 = 374,661 : x
  2. Step 2: Convert to fraction form
    170,877/374,661 = 374,661/x
  3. Step 3: Cross multiply
    170,877x = 374,661 × 374,661
  4. Step 4: Simplify right side
    170,877x = 140,370,864,921
  5. Step 5: Solve for x
    x = 140,370,864,921/170,877
  6. Step 6: Final answer
    x = 821,473.14

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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.