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Finding the Third Proportional to 166,291.73 and 256,818.73

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Solution

The third proportional to 166,291.73 and 256,818.73 is: 396,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,291.73 : 256,818.73 = 256,818.73 : x
  2. Step 2: Convert to fraction form
    166,291.73/256,818.73 = 256,818.73/x
  3. Step 3: Cross multiply
    166,291.73x = 256,818.73 × 256,818.73
  4. Step 4: Simplify right side
    166,291.73x = 65,955,858,313.18
  5. Step 5: Solve for x
    x = 65,955,858,313.18/166,291.73
  6. Step 6: Final answer
    x = 396,627.40

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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.