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Finding the Third Proportional to 156,964 and 339,199

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Solution

The third proportional to 156,964 and 339,199 is: 733,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 339,199 = 339,199 : x
  2. Step 2: Convert to fraction form
    156,964/339,199 = 339,199/x
  3. Step 3: Cross multiply
    156,964x = 339,199 × 339,199
  4. Step 4: Simplify right side
    156,964x = 115,055,961,601
  5. Step 5: Solve for x
    x = 115,055,961,601/156,964
  6. Step 6: Final answer
    x = 733,008.60

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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.