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Finding the Third Proportional to 156,564 and 209,733

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Solution

The third proportional to 156,564 and 209,733 is: 280,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,564 : 209,733 = 209,733 : x
  2. Step 2: Convert to fraction form
    156,564/209,733 = 209,733/x
  3. Step 3: Cross multiply
    156,564x = 209,733 × 209,733
  4. Step 4: Simplify right side
    156,564x = 43,987,931,289
  5. Step 5: Solve for x
    x = 43,987,931,289/156,564
  6. Step 6: Final answer
    x = 280,958.15

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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.