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Finding the Third Proportional to 179,549.06 and 271,465.13

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Solution

The third proportional to 179,549.06 and 271,465.13 is: 410,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,549.06 : 271,465.13 = 271,465.13 : x
  2. Step 2: Convert to fraction form
    179,549.06/271,465.13 = 271,465.13/x
  3. Step 3: Cross multiply
    179,549.06x = 271,465.13 × 271,465.13
  4. Step 4: Simplify right side
    179,549.06x = 73,693,314,091.27
  5. Step 5: Solve for x
    x = 73,693,314,091.27/179,549.06
  6. Step 6: Final answer
    x = 410,435.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.