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Finding the Third Proportional to 166,316 and 256,035

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Solution

The third proportional to 166,316 and 256,035 is: 394,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,316 : 256,035 = 256,035 : x
  2. Step 2: Convert to fraction form
    166,316/256,035 = 256,035/x
  3. Step 3: Cross multiply
    166,316x = 256,035 × 256,035
  4. Step 4: Simplify right side
    166,316x = 65,553,921,225
  5. Step 5: Solve for x
    x = 65,553,921,225/166,316
  6. Step 6: Final answer
    x = 394,152.82

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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.