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Finding the Third Proportional to 156,948 and 339,970

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Solution

The third proportional to 156,948 and 339,970 is: 736,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 339,970 = 339,970 : x
  2. Step 2: Convert to fraction form
    156,948/339,970 = 339,970/x
  3. Step 3: Cross multiply
    156,948x = 339,970 × 339,970
  4. Step 4: Simplify right side
    156,948x = 115,579,600,900
  5. Step 5: Solve for x
    x = 115,579,600,900/156,948
  6. Step 6: Final answer
    x = 736,419.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.