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Finding the Third Proportional to 159,505 and 347,986

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Solution

The third proportional to 159,505 and 347,986 is: 759,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,505 : 347,986 = 347,986 : x
  2. Step 2: Convert to fraction form
    159,505/347,986 = 347,986/x
  3. Step 3: Cross multiply
    159,505x = 347,986 × 347,986
  4. Step 4: Simplify right side
    159,505x = 121,094,256,196
  5. Step 5: Solve for x
    x = 121,094,256,196/159,505
  6. Step 6: Final answer
    x = 759,187.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.