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Finding the Third Proportional to 156,636 and 235,647

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Solution

The third proportional to 156,636 and 235,647 is: 354,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,636 : 235,647 = 235,647 : x
  2. Step 2: Convert to fraction form
    156,636/235,647 = 235,647/x
  3. Step 3: Cross multiply
    156,636x = 235,647 × 235,647
  4. Step 4: Simplify right side
    156,636x = 55,529,508,609
  5. Step 5: Solve for x
    x = 55,529,508,609/156,636
  6. Step 6: Final answer
    x = 354,513.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.