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Finding the Third Proportional to 160,256 and 345,899

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Solution

The third proportional to 160,256 and 345,899 is: 746,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,256 : 345,899 = 345,899 : x
  2. Step 2: Convert to fraction form
    160,256/345,899 = 345,899/x
  3. Step 3: Cross multiply
    160,256x = 345,899 × 345,899
  4. Step 4: Simplify right side
    160,256x = 119,646,118,201
  5. Step 5: Solve for x
    x = 119,646,118,201/160,256
  6. Step 6: Final answer
    x = 746,593.69

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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.