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Finding the Third Proportional to 156,957 and 339,062

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Solution

The third proportional to 156,957 and 339,062 is: 732,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,957 : 339,062 = 339,062 : x
  2. Step 2: Convert to fraction form
    156,957/339,062 = 339,062/x
  3. Step 3: Cross multiply
    156,957x = 339,062 × 339,062
  4. Step 4: Simplify right side
    156,957x = 114,963,039,844
  5. Step 5: Solve for x
    x = 114,963,039,844/156,957
  6. Step 6: Final answer
    x = 732,449.27

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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.