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Finding the Third Proportional to 159,520 and 350,487

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Solution

The third proportional to 159,520 and 350,487 is: 770,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,520 : 350,487 = 350,487 : x
  2. Step 2: Convert to fraction form
    159,520/350,487 = 350,487/x
  3. Step 3: Cross multiply
    159,520x = 350,487 × 350,487
  4. Step 4: Simplify right side
    159,520x = 122,841,137,169
  5. Step 5: Solve for x
    x = 122,841,137,169/159,520
  6. Step 6: Final answer
    x = 770,067.31

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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.