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Finding the Third Proportional to 167,152 and 367,376

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Solution

The third proportional to 167,152 and 367,376 is: 807,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,152 : 367,376 = 367,376 : x
  2. Step 2: Convert to fraction form
    167,152/367,376 = 367,376/x
  3. Step 3: Cross multiply
    167,152x = 367,376 × 367,376
  4. Step 4: Simplify right side
    167,152x = 134,965,125,376
  5. Step 5: Solve for x
    x = 134,965,125,376/167,152
  6. Step 6: Final answer
    x = 807,439.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.