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Finding the Third Proportional to 108,286.50 and 166,656

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Solution

The third proportional to 108,286.50 and 166,656 is: 256,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,286.50 : 166,656 = 166,656 : x
  2. Step 2: Convert to fraction form
    108,286.50/166,656 = 166,656/x
  3. Step 3: Cross multiply
    108,286.50x = 166,656 × 166,656
  4. Step 4: Simplify right side
    108,286.50x = 27,774,222,336
  5. Step 5: Solve for x
    x = 27,774,222,336/108,286.50
  6. Step 6: Final answer
    x = 256,488.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.