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Finding the Third Proportional to 108,394.50 and 166,818

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Solution

The third proportional to 108,394.50 and 166,818 is: 256,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,394.50 : 166,818 = 166,818 : x
  2. Step 2: Convert to fraction form
    108,394.50/166,818 = 166,818/x
  3. Step 3: Cross multiply
    108,394.50x = 166,818 × 166,818
  4. Step 4: Simplify right side
    108,394.50x = 27,828,245,124
  5. Step 5: Solve for x
    x = 27,828,245,124/108,394.50
  6. Step 6: Final answer
    x = 256,731.15

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Why These Related Problems?

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