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Finding the Third Proportional to 156,694 and 238,715

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Solution

The third proportional to 156,694 and 238,715 is: 363,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,694 : 238,715 = 238,715 : x
  2. Step 2: Convert to fraction form
    156,694/238,715 = 238,715/x
  3. Step 3: Cross multiply
    156,694x = 238,715 × 238,715
  4. Step 4: Simplify right side
    156,694x = 56,984,851,225
  5. Step 5: Solve for x
    x = 56,984,851,225/156,694
  6. Step 6: Final answer
    x = 363,669.64

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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.