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Finding the Third Proportional to 156,771 and 338,322

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Solution

The third proportional to 156,771 and 338,322 is: 730,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,771 : 338,322 = 338,322 : x
  2. Step 2: Convert to fraction form
    156,771/338,322 = 338,322/x
  3. Step 3: Cross multiply
    156,771x = 338,322 × 338,322
  4. Step 4: Simplify right side
    156,771x = 114,461,775,684
  5. Step 5: Solve for x
    x = 114,461,775,684/156,771
  6. Step 6: Final answer
    x = 730,120.85

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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.