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Finding the Third Proportional to 170,933.63 and 374,074.88

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Solution

The third proportional to 170,933.63 and 374,074.88 is: 818,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,933.63 : 374,074.88 = 374,074.88 : x
  2. Step 2: Convert to fraction form
    170,933.63/374,074.88 = 374,074.88/x
  3. Step 3: Cross multiply
    170,933.63x = 374,074.88 × 374,074.88
  4. Step 4: Simplify right side
    170,933.63x = 139,932,012,106.27
  5. Step 5: Solve for x
    x = 139,932,012,106.27/170,933.63
  6. Step 6: Final answer
    x = 818,633.62

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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.