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Finding the Third Proportional to 156,951 and 339,052

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Solution

The third proportional to 156,951 and 339,052 is: 732,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,951 : 339,052 = 339,052 : x
  2. Step 2: Convert to fraction form
    156,951/339,052 = 339,052/x
  3. Step 3: Cross multiply
    156,951x = 339,052 × 339,052
  4. Step 4: Simplify right side
    156,951x = 114,956,258,704
  5. Step 5: Solve for x
    x = 114,956,258,704/156,951
  6. Step 6: Final answer
    x = 732,434.06

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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.