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Finding the Third Proportional to 156,951 and 339,051

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Solution

The third proportional to 156,951 and 339,051 is: 732,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,951 : 339,051 = 339,051 : x
  2. Step 2: Convert to fraction form
    156,951/339,051 = 339,051/x
  3. Step 3: Cross multiply
    156,951x = 339,051 × 339,051
  4. Step 4: Simplify right side
    156,951x = 114,955,580,601
  5. Step 5: Solve for x
    x = 114,955,580,601/156,951
  6. Step 6: Final answer
    x = 732,429.74

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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.