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Finding the Third Proportional to 170,842.29 and 374,592.09

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Solution

The third proportional to 170,842.29 and 374,592.09 is: 821,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,842.29 : 374,592.09 = 374,592.09 : x
  2. Step 2: Convert to fraction form
    170,842.29/374,592.09 = 374,592.09/x
  3. Step 3: Cross multiply
    170,842.29x = 374,592.09 × 374,592.09
  4. Step 4: Simplify right side
    170,842.29x = 140,319,236,700.01
  5. Step 5: Solve for x
    x = 140,319,236,700.01/170,842.29
  6. Step 6: Final answer
    x = 821,337.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.