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Finding the Third Proportional to 156,684 and 238,698

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Solution

The third proportional to 156,684 and 238,698 is: 363,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,684 : 238,698 = 238,698 : x
  2. Step 2: Convert to fraction form
    156,684/238,698 = 238,698/x
  3. Step 3: Cross multiply
    156,684x = 238,698 × 238,698
  4. Step 4: Simplify right side
    156,684x = 56,976,735,204
  5. Step 5: Solve for x
    x = 56,976,735,204/156,684
  6. Step 6: Final answer
    x = 363,641.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.