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Finding the Third Proportional to 108,153 and 232,945

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Solution

The third proportional to 108,153 and 232,945 is: 501,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,153 : 232,945 = 232,945 : x
  2. Step 2: Convert to fraction form
    108,153/232,945 = 232,945/x
  3. Step 3: Cross multiply
    108,153x = 232,945 × 232,945
  4. Step 4: Simplify right side
    108,153x = 54,263,373,025
  5. Step 5: Solve for x
    x = 54,263,373,025/108,153
  6. Step 6: Final answer
    x = 501,727.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.