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Finding the Third Proportional to 108,945 and 243,405

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Solution

The third proportional to 108,945 and 243,405 is: 543,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,945 : 243,405 = 243,405 : x
  2. Step 2: Convert to fraction form
    108,945/243,405 = 243,405/x
  3. Step 3: Cross multiply
    108,945x = 243,405 × 243,405
  4. Step 4: Simplify right side
    108,945x = 59,245,994,025
  5. Step 5: Solve for x
    x = 59,245,994,025/108,945
  6. Step 6: Final answer
    x = 543,815.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.