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Finding the Third Proportional to 108,226 and 232,003

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Solution

The third proportional to 108,226 and 232,003 is: 497,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,226 : 232,003 = 232,003 : x
  2. Step 2: Convert to fraction form
    108,226/232,003 = 232,003/x
  3. Step 3: Cross multiply
    108,226x = 232,003 × 232,003
  4. Step 4: Simplify right side
    108,226x = 53,825,392,009
  5. Step 5: Solve for x
    x = 53,825,392,009/108,226
  6. Step 6: Final answer
    x = 497,342.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.