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Finding the Third Proportional to 174,862.13 and 271,041.19

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Solution

The third proportional to 174,862.13 and 271,041.19 is: 420,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,862.13 : 271,041.19 = 271,041.19 : x
  2. Step 2: Convert to fraction form
    174,862.13/271,041.19 = 271,041.19/x
  3. Step 3: Cross multiply
    174,862.13x = 271,041.19 × 271,041.19
  4. Step 4: Simplify right side
    174,862.13x = 73,463,325,321.41
  5. Step 5: Solve for x
    x = 73,463,325,321.41/174,862.13
  6. Step 6: Final answer
    x = 420,121.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.