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Finding the Third Proportional to 108,380 and 232,889

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Solution

The third proportional to 108,380 and 232,889 is: 500,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,380 : 232,889 = 232,889 : x
  2. Step 2: Convert to fraction form
    108,380/232,889 = 232,889/x
  3. Step 3: Cross multiply
    108,380x = 232,889 × 232,889
  4. Step 4: Simplify right side
    108,380x = 54,237,286,321
  5. Step 5: Solve for x
    x = 54,237,286,321/108,380
  6. Step 6: Final answer
    x = 500,436.30

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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.