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Finding the Third Proportional to 89,520 and 197,668

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Solution

The third proportional to 89,520 and 197,668 is: 436,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,520 : 197,668 = 197,668 : x
  2. Step 2: Convert to fraction form
    89,520/197,668 = 197,668/x
  3. Step 3: Cross multiply
    89,520x = 197,668 × 197,668
  4. Step 4: Simplify right side
    89,520x = 39,072,638,224
  5. Step 5: Solve for x
    x = 39,072,638,224/89,520
  6. Step 6: Final answer
    x = 436,468.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.