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Finding the Third Proportional to 156,971 and 333,544

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Solution

The third proportional to 156,971 and 333,544 is: 708,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 333,544 = 333,544 : x
  2. Step 2: Convert to fraction form
    156,971/333,544 = 333,544/x
  3. Step 3: Cross multiply
    156,971x = 333,544 × 333,544
  4. Step 4: Simplify right side
    156,971x = 111,251,599,936
  5. Step 5: Solve for x
    x = 111,251,599,936/156,971
  6. Step 6: Final answer
    x = 708,739.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.