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Finding the Third Proportional to 167,594 and 382,892

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Solution

The third proportional to 167,594 and 382,892 is: 874,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,594 : 382,892 = 382,892 : x
  2. Step 2: Convert to fraction form
    167,594/382,892 = 382,892/x
  3. Step 3: Cross multiply
    167,594x = 382,892 × 382,892
  4. Step 4: Simplify right side
    167,594x = 146,606,283,664
  5. Step 5: Solve for x
    x = 146,606,283,664/167,594
  6. Step 6: Final answer
    x = 874,770.48

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.