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Finding the Third Proportional to 156,114 and 338,474

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Solution

The third proportional to 156,114 and 338,474 is: 733,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,114 : 338,474 = 338,474 : x
  2. Step 2: Convert to fraction form
    156,114/338,474 = 338,474/x
  3. Step 3: Cross multiply
    156,114x = 338,474 × 338,474
  4. Step 4: Simplify right side
    156,114x = 114,564,648,676
  5. Step 5: Solve for x
    x = 114,564,648,676/156,114
  6. Step 6: Final answer
    x = 733,852.50

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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.