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Finding the Third Proportional to 171,036 and 374,580

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Solution

The third proportional to 171,036 and 374,580 is: 820,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,036 : 374,580 = 374,580 : x
  2. Step 2: Convert to fraction form
    171,036/374,580 = 374,580/x
  3. Step 3: Cross multiply
    171,036x = 374,580 × 374,580
  4. Step 4: Simplify right side
    171,036x = 140,310,176,400
  5. Step 5: Solve for x
    x = 140,310,176,400/171,036
  6. Step 6: Final answer
    x = 820,354.64

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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.