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Finding the Third Proportional to 159,005 and 347,899

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Solution

The third proportional to 159,005 and 347,899 is: 761,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,005 : 347,899 = 347,899 : x
  2. Step 2: Convert to fraction form
    159,005/347,899 = 347,899/x
  3. Step 3: Cross multiply
    159,005x = 347,899 × 347,899
  4. Step 4: Simplify right side
    159,005x = 121,033,714,201
  5. Step 5: Solve for x
    x = 121,033,714,201/159,005
  6. Step 6: Final answer
    x = 761,194.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.