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Finding the Third Proportional to 180,730.13 and 396,923.63

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Solution

The third proportional to 180,730.13 and 396,923.63 is: 871,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,730.13 : 396,923.63 = 396,923.63 : x
  2. Step 2: Convert to fraction form
    180,730.13/396,923.63 = 396,923.63/x
  3. Step 3: Cross multiply
    180,730.13x = 396,923.63 × 396,923.63
  4. Step 4: Simplify right side
    180,730.13x = 157,548,364,083.14
  5. Step 5: Solve for x
    x = 157,548,364,083.14/180,730.13
  6. Step 6: Final answer
    x = 871,732.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.