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Finding the Third Proportional to 156,979 and 201,567

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Solution

The third proportional to 156,979 and 201,567 is: 258,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,979 : 201,567 = 201,567 : x
  2. Step 2: Convert to fraction form
    156,979/201,567 = 201,567/x
  3. Step 3: Cross multiply
    156,979x = 201,567 × 201,567
  4. Step 4: Simplify right side
    156,979x = 40,629,255,489
  5. Step 5: Solve for x
    x = 40,629,255,489/156,979
  6. Step 6: Final answer
    x = 258,819.69

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.