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Finding the Third Proportional to 108,154 and 232,949

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Solution

The third proportional to 108,154 and 232,949 is: 501,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,154 : 232,949 = 232,949 : x
  2. Step 2: Convert to fraction form
    108,154/232,949 = 232,949/x
  3. Step 3: Cross multiply
    108,154x = 232,949 × 232,949
  4. Step 4: Simplify right side
    108,154x = 54,265,236,601
  5. Step 5: Solve for x
    x = 54,265,236,601/108,154
  6. Step 6: Final answer
    x = 501,740.45

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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.