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Finding the Third Proportional to 166,667.63 and 256,425.75

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Solution

The third proportional to 166,667.63 and 256,425.75 is: 394,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,667.63 : 256,425.75 = 256,425.75 : x
  2. Step 2: Convert to fraction form
    166,667.63/256,425.75 = 256,425.75/x
  3. Step 3: Cross multiply
    166,667.63x = 256,425.75 × 256,425.75
  4. Step 4: Simplify right side
    166,667.63x = 65,754,165,263.06
  5. Step 5: Solve for x
    x = 65,754,165,263.06/166,667.63
  6. Step 6: Final answer
    x = 394,522.72

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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.