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Finding the Third Proportional to 156,962 and 335,469

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Solution

The third proportional to 156,962 and 335,469 is: 716,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 335,469 = 335,469 : x
  2. Step 2: Convert to fraction form
    156,962/335,469 = 335,469/x
  3. Step 3: Cross multiply
    156,962x = 335,469 × 335,469
  4. Step 4: Simplify right side
    156,962x = 112,539,449,961
  5. Step 5: Solve for x
    x = 112,539,449,961/156,962
  6. Step 6: Final answer
    x = 716,985.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.