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Finding the Third Proportional to 156,965 and 201,546

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Solution

The third proportional to 156,965 and 201,546 is: 258,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,965 : 201,546 = 201,546 : x
  2. Step 2: Convert to fraction form
    156,965/201,546 = 201,546/x
  3. Step 3: Cross multiply
    156,965x = 201,546 × 201,546
  4. Step 4: Simplify right side
    156,965x = 40,620,790,116
  5. Step 5: Solve for x
    x = 40,620,790,116/156,965
  6. Step 6: Final answer
    x = 258,788.84

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Why These Related Problems?

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