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Finding the Third Proportional to 166,065.75 and 256,464

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Solution

The third proportional to 166,065.75 and 256,464 is: 396,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,065.75 : 256,464 = 256,464 : x
  2. Step 2: Convert to fraction form
    166,065.75/256,464 = 256,464/x
  3. Step 3: Cross multiply
    166,065.75x = 256,464 × 256,464
  4. Step 4: Simplify right side
    166,065.75x = 65,773,783,296
  5. Step 5: Solve for x
    x = 65,773,783,296/166,065.75
  6. Step 6: Final answer
    x = 396,070.73

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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.