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Finding the Third Proportional to 160,570 and 330,859

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Solution

The third proportional to 160,570 and 330,859 is: 681,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,570 : 330,859 = 330,859 : x
  2. Step 2: Convert to fraction form
    160,570/330,859 = 330,859/x
  3. Step 3: Cross multiply
    160,570x = 330,859 × 330,859
  4. Step 4: Simplify right side
    160,570x = 109,467,677,881
  5. Step 5: Solve for x
    x = 109,467,677,881/160,570
  6. Step 6: Final answer
    x = 681,744.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.