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Finding the Third Proportional to 156,292 and 338,504

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Solution

The third proportional to 156,292 and 338,504 is: 733,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,292 : 338,504 = 338,504 : x
  2. Step 2: Convert to fraction form
    156,292/338,504 = 338,504/x
  3. Step 3: Cross multiply
    156,292x = 338,504 × 338,504
  4. Step 4: Simplify right side
    156,292x = 114,584,958,016
  5. Step 5: Solve for x
    x = 114,584,958,016/156,292
  6. Step 6: Final answer
    x = 733,146.66

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