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Finding the Third Proportional to 156,766 and 338,308

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Solution

The third proportional to 156,766 and 338,308 is: 730,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,766 : 338,308 = 338,308 : x
  2. Step 2: Convert to fraction form
    156,766/338,308 = 338,308/x
  3. Step 3: Cross multiply
    156,766x = 338,308 × 338,308
  4. Step 4: Simplify right side
    156,766x = 114,452,302,864
  5. Step 5: Solve for x
    x = 114,452,302,864/156,766
  6. Step 6: Final answer
    x = 730,083.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.