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Finding the Third Proportional to 156,556 and 209,720

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Solution

The third proportional to 156,556 and 209,720 is: 280,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,556 : 209,720 = 209,720 : x
  2. Step 2: Convert to fraction form
    156,556/209,720 = 209,720/x
  3. Step 3: Cross multiply
    156,556x = 209,720 × 209,720
  4. Step 4: Simplify right side
    156,556x = 43,982,478,400
  5. Step 5: Solve for x
    x = 43,982,478,400/156,556
  6. Step 6: Final answer
    x = 280,937.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.