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Finding the Third Proportional to 167,846 and 256,152

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Solution

The third proportional to 167,846 and 256,152 is: 390,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,846 : 256,152 = 256,152 : x
  2. Step 2: Convert to fraction form
    167,846/256,152 = 256,152/x
  3. Step 3: Cross multiply
    167,846x = 256,152 × 256,152
  4. Step 4: Simplify right side
    167,846x = 65,613,847,104
  5. Step 5: Solve for x
    x = 65,613,847,104/167,846
  6. Step 6: Final answer
    x = 390,916.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.