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Finding the Third Proportional to 171,004 and 374,192

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Solution

The third proportional to 171,004 and 374,192 is: 818,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,004 : 374,192 = 374,192 : x
  2. Step 2: Convert to fraction form
    171,004/374,192 = 374,192/x
  3. Step 3: Cross multiply
    171,004x = 374,192 × 374,192
  4. Step 4: Simplify right side
    171,004x = 140,019,652,864
  5. Step 5: Solve for x
    x = 140,019,652,864/171,004
  6. Step 6: Final answer
    x = 818,809.23

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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.