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Finding the Third Proportional to 170,512 and 371,000

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Solution

The third proportional to 170,512 and 371,000 is: 807,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,512 : 371,000 = 371,000 : x
  2. Step 2: Convert to fraction form
    170,512/371,000 = 371,000/x
  3. Step 3: Cross multiply
    170,512x = 371,000 × 371,000
  4. Step 4: Simplify right side
    170,512x = 137,641,000,000
  5. Step 5: Solve for x
    x = 137,641,000,000/170,512
  6. Step 6: Final answer
    x = 807,221.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.