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Finding the Third Proportional to 237,198 and 369,405

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Solution

The third proportional to 237,198 and 369,405 is: 575,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,198 : 369,405 = 369,405 : x
  2. Step 2: Convert to fraction form
    237,198/369,405 = 369,405/x
  3. Step 3: Cross multiply
    237,198x = 369,405 × 369,405
  4. Step 4: Simplify right side
    237,198x = 136,460,054,025
  5. Step 5: Solve for x
    x = 136,460,054,025/237,198
  6. Step 6: Final answer
    x = 575,300.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.