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Finding the Third Proportional to 237,016.13 and 360,399.38

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Solution

The third proportional to 237,016.13 and 360,399.38 is: 548,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,016.13 : 360,399.38 = 360,399.38 : x
  2. Step 2: Convert to fraction form
    237,016.13/360,399.38 = 360,399.38/x
  3. Step 3: Cross multiply
    237,016.13x = 360,399.38 × 360,399.38
  4. Step 4: Simplify right side
    237,016.13x = 129,887,709,500.39
  5. Step 5: Solve for x
    x = 129,887,709,500.39/237,016.13
  6. Step 6: Final answer
    x = 548,012.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.