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Finding the Third Proportional to 156,964 and 339,684

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Solution

The third proportional to 156,964 and 339,684 is: 735,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,964 : 339,684 = 339,684 : x
  2. Step 2: Convert to fraction form
    156,964/339,684 = 339,684/x
  3. Step 3: Cross multiply
    156,964x = 339,684 × 339,684
  4. Step 4: Simplify right side
    156,964x = 115,385,219,856
  5. Step 5: Solve for x
    x = 115,385,219,856/156,964
  6. Step 6: Final answer
    x = 735,106.27

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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.