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Finding the Third Proportional to 160,255 and 345,897

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Solution

The third proportional to 160,255 and 345,897 is: 746,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,255 : 345,897 = 345,897 : x
  2. Step 2: Convert to fraction form
    160,255/345,897 = 345,897/x
  3. Step 3: Cross multiply
    160,255x = 345,897 × 345,897
  4. Step 4: Simplify right side
    160,255x = 119,644,734,609
  5. Step 5: Solve for x
    x = 119,644,734,609/160,255
  6. Step 6: Final answer
    x = 746,589.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.